lesson 8 homework answer key grade 5

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Eureka Math Grade 5 Module 5 Lesson 8 Answer Key

Engage ny eureka math 5th grade module 5 lesson 8 answer key, eureka math grade 5 module 5 lesson 8 problem set answer key.

Using the box patterns, construct a sculpture containing at least 5, but not more than 7, rectangular prisms that meets the following requirements in the table below.

Eureka Math Grade 5 Module 5 Lesson 8 Exit Ticket Answer Key

Sketch a rectangular prism that has a volume of 36 cubic cm. Label the dimensions of each side on the prism. Fill in the blanks that follow. Height: _______ cm Length: _______ cm Width: _______ cm Volume: _______ cubic cm Answer:

Height: 2 cm Length: 6 cm Width: 3 cm Volume = length x width x height

= 6 x 3 x 2

= 36 cubic cm.

Eureka Math Grade 5 Module 5 Lesson 8 Homework Answer Key

Question 1. I have a prism with the dimensions of 6 cm by 12 cm by 15 cm. Calculate the volume of the prism, and then give the dimensions of three different prisms that each have \(\frac{1}{3}\) of the volume.

Question 2. Sunni’s bedroom has the dimensions of 11 ft by 10 ft by 10 ft. Her den has the same height but double the volume. Give two sets of the possible dimensions of the den and the volume of the den. Answer:

Given, the dimensions of Sunni’s bedroom = 11 ft by 10 ft by 10 ft

Volume = 11 x 10 x 10

= 1100 cubic feet

The den has same height but double volume

Now, the set of two possible dimensions of the den and its volume =

20 x 10 x 10

Volume = 2200 cubic feet

10 x 20 x 10

Volume = 2,200 cubic feet.

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enVision MATH Common Core 5, Grade: 5 Publisher: Scott Foresman Addison Wesley

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Texas Go Math Grade 5 Lesson 8.1 Answer Key Equations

Refer to our Texas Go Math Grade 5 Answer Key Pdf to score good marks in the exams. Test yourself by practicing the problems from Texas Go Math Grade 5 Lesson 8.1 Answer Key Equations.

Investigate

Materials: a pan balance, connecting cubes

A pan balance weighs objects whose weights are unknown by balancing them with objects whose weights are known. When the two pans are balanced, the objects have the same weight.

B. Use your pan balance to find the value of x in the equation. Add cubes to the right pan, one at a time, until the pans are balanced. What is the value of x? Answer: 11 = 8 + x 11 = 8 + 3 The value of X is 3 . Explanation: In the left pan there are 11 connecting cubes and in the right pan there are 8 connecting cubes. Add 1 cube to the right pan the pans are not balanced. Now the right pan contains 9 connecting cubes. Add 1 more cube to the right pan again the pans are not balanced. Now the right pan contains 10 connecting cubes. Add 1 more cube to the right pan the pans are balanced. The right pan contains 11 connecting cubes. So, the value of x is 3.

Use the pan balance to solve 4 + 2 × 3 = 7 + y. STEP 1: Use the order of operations to simplify the equation. 4 + 2 × 3 = 7 + y Multiply first. 4 + 6 = 7 + y Then add.

Mathematical Processes

How can you tell that your solution to an equation is correct? Answer: 10 = 7 + y 10 = 7 + 3 10 = 10 The solution to the equation is correct because both pans are balanced.

Share and Show

Use the pan balance to model and solve the equation.

Which value of m, 4, 8, or 10, makes the equation true?

Question 3. 5 + 4 + 4 = 9 + m _________ = m Answer: 5 + 4 + 4 = 9 + m 13 = 9 + m 13 = 9 + 4 m = 4 The value m = 4 makes the equation true. Explanation: The equation is 5 + 4 + 4 = 9 + m. We can make the equation true by calculating m value. First add 5 with 4 and 4 the sum is 13. The equation is 13 = 9 + m. Add 4 to the 9 the sum is 13. So m is equal to 4. The value m = 4 makes the equation true.

Question 4. 3 + m + 2 = 7 + 4 + 2 m = _________ Answer: 3 + m + 2 = 7 + 4 + 2 5 + m = 13 5 + 8 = 13 m = 8 The value m= 8 makes the equation true. Explanation: The equation is 3 + m + 2 = 7 + 4 + 2. We can make the equation true by calculating m value. First add right side values. Add 7 with 4 and 2 the sum is 13. The equation is 5 + m = 13. Add 8 to the 5 the sum is 13. So m is equal to 8. The value m = 8 makes the equation true.

Go Math Lesson 8.1 Answer Key 5th Grade Question 5. H.O.T. Explain why there is only one solution to the equation 8 = w + 5. Answer: 8 = w + 5 8 = 3 + 5 w = 3 The value w = 3 makes the equation true. Explanation: There is only one solution to the above equation because we have to calculate only w value.

Problem Solving

When two pans are balanced, the objects on the pans have the same weight. Use the pan balances to solve 6-8.

Go Math Lesson 8.1 5th Grade Answer Key Question 8. What if the weight on the right side of the first balance weighed the same as 3 blocks? What is the weight of one block? Of one green cylinder? Answer:

Question 9. H.O.T. Multi-Step Lucia placed 12 spheres on one side of a pan balance and 10 triangular prisms on the other side. Each side weighs 60 grams. What is the weight of one sphere? One triangular prism? Answer: Each side weighs 60 grams. 12 spheres on one side of a pan balance. 12 spheres x X = 60 grams 12 spheres x 5 grams = 60 grams 1 sphere = 5 grams 10 triangular prisms on the other side. 10 triangular prisms x Y = 60 grams 10 triangular prisms x 6 grams = 60 grams 1 triangular prism = 6 grams Explanation: Lucia placed 12 spheres on one side of a pan balance and 10 triangular prisms on the other side. Each side weighs 60 grams. To calculate the weight of one sphere we have to divide 60 grams by 12 spheres the result is 5 grams. The weight of one sphere is equal to 5 grams. To calculate the weight of one triangular prism we have to divide 60 grams by 10 triangular prism the result is 6 grams. The weight of one triangular prism is equal to 6 grams.

Daily Assessment Task

Fill in the bubble completely to show your answer.

Texas Test Prep

Texas Go Math Grade 5 Lesson 8.1 Homework and Practice Answer Key

Which value of p, 4, 6, or 8, makes the equation true?

Question 3. 6 + 4 + 3 = 7 + p _________ = p Answer: 6 + 4 + 3 = 7 + p 13 = 7 + p 13 = 7 + 6 The value p = 6 makes the equation true. Explanation: The equation is 6 + 4 + 3 = 7 + p. We can make the equation true by calculating p value. First add left side values. Add 6 with 4 and 3 the sum is 13. The equation is 13 = 7 + 6. Add 6 to the 7 the sum is 13. So p is equal to 6. The value p = 6 makes the equation true.

Question 4. 5 + p + 7 = 5 + 6 + 5 p = __________ Answer: 5 + p + 7 = 5 + 6 + 5 12 + p = 16 12 + 4 = 16 The value p = 4 makes the equation true. Explanation: The equation is 5 + p + 7 = 5 + 6 + 5. We can make the equation true by calculating p value. First add right side values. Add 5 with 6 and 5 the sum is 16. The equation is 12 + p = 16. Add 4 to the 12 the sum is 16. So p is equal to 4. The value p = 4 makes the equation true.

Which value of g, 8, 9, or 10, makes the equation true?

Question 5. 3 × 2 + 4 = 2 + g _________ = g Answer: 3 × 2 + 4 = 2 + g 6 + 4 = 2 + g 10 = 2 + 8 The value g = 8 makes the equation true. Explanation: The equation is 3 x 2 + 4 = 2 + g. We can make the equation true by calculating g value. First add left side values. First perform multiplication operation with the values 3 and 2. Multiply 3 with 2 the product is 6. Next add 6 with with 4 the sum is 10. The equation is 10 = 2 + g. Add 8 to the 2 the sum is 10. So, the value g is equal to 8 makes the equation true.

Go Math Grade 5 Lesson 8.1 Answer Key Question 6. 3 + 2 × 6 = g + 5 g = _________ Answer: 3 + 2 × 6 = g + 5 3 + 12 = g + 5 15 = 10 + 5 The value g = 10 makes the equation true. Explanation: The equation is3 + 2 × 6 = g + 5. We can make the equation true by calculating g value. First add left side values. First perform multiplication operation with the values 2 and 6. Multiply 2 with 6 the product is 12. Next add 3 with with 12 the sum is 15. The equation is 15 = g + 5. Add 10 to the 5 the sum is 15. So, the value g is equal to 10 makes the equation true.

Question 7. Carlo places 8 apple slices on one side of a pan balance and 12 orange slices on the other side. Each side weighs 48 grams. What is the weight of one apple slice? One orange slice? Answer: Carlo places 8 apple slices on one side of a pan balance. 1 apple slice = ? 8 apple slices = 48 grams 48 grams / 8 = 6 grams 1 apple slice is equal to 6 grams. Carlo places 12 orange slices on the other side. 1 orange slice = ? 12 orange slices = 48 grams 48 grams / 12 = 4 grams 1 orange slice is equal to 4 grams. Explanation: Carlo places 8 apple slices on one side of a pan balance and 12 orange slices on the other side. Each side weighs 48 grams. Divide 48 grams by 8 apple slices the result is 6 grams. 1 apple slice weight is equal to 6 grams. Divide 48 grams by 12 orange slices the result is equal to 4 grams. one orange slice is equal to 4 grams.

Question 8. On another pan balance, Carlo places 3 of the apple slices and 4 of the orange slices on the left side. He places I apple slice on the right side. How many orange slices will Carlo need to place on the right side so that pans are balanced? Answer: Carlo places 3 of the apple slices and 4 of the orange slices on the left side. 1 apple slice is equal to 6 grams. 3 x 6 = 18 3 apple slices is equal to 18 grams . 1 orange slice is equal to 4 grams. 4 x 4 = 16 4 orange slices is equal to 16 grams . 18 grams+ 16 grams = 34 grams On left side of the pan balance the weight of apple slices and oranges are 34 grams. Carlos places 1 apple slice on the right side. 1 x 6 = 6 1 apple slice is equal to 6 grams . 7 x 4 = 28 7 oranges is equal to 28 grams . Carlo need to place 7 oranges on the right side so that pans are balanced. On right side of the pan balance the weight of apple slices and oranges are 34 grams. Explanation: On another pan balance, Carlo places 3 of the apple slices and 4 of the orange slices on the left side. He places I apple slice on the right side. He needs to place 7 orange slices on the right side so that pans are balanced.

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Math Expressions Grade 5 Unit 8 Lesson 12 Answer Key Relate Length, Area, and Volume

Solve the questions in Math Expressions Grade 5 Homework and Remembering Answer Key Unit 8 Lesson 12 Answer Key Relate Length, Area, and Volume to attempt the exam with higher confidence. https://mathexpressionsanswerkey.com/math-expressions-grade-5-unit-8-lesson-12-answer-key/

Math Expressions Common Core Grade 5 Unit 8 Lesson 12 Answer Key Relate Length, Area, and Volume

Math Expressions Grade 5 Unit 8 Lesson 12 Homework

For each question, write whether you would measure for length, area, or volume.

Lesson 12 Math Expressions Grade 5 Unit 8  Question 1. the amount of space inside a moving van ___________ Answer: the amount of space inside a moving van is Volume.

Lesson 12 Relate Length, Area, and Volume Grade 5 Math Expressions  Question 2. the number of tiles needed to cover a bathroom floor ____________ Answer: the number of tiles needed to cover a bathroom floor is area.

Math Expressions Grade 5 Unit 8 Lesson 12 Answer Key Relate Length, Area, and Volume Question 3. the distance from a porch to a tree __________ Answer: the distance from a porch to a tree length.

Question 4. the amount of water a tank holds ____________ Answer: the amount of water a tank holds Volume,

Question 5. the height of a flagpole _________ Answer: the height of a flagpole length.

Question 6. A box is 5 inches long, 4 inches wide, and 1 inch deep. How much space is inside the box? Answer: The space inside the box is 20 cubic in.

Explanation: Given that a box is 5 inches long, 4 inches wide, and 1 inch deep, so the space inside the box is 5 × 4 × 1 which is 20 cubic in.

Question 7. Aponi built a toy chest for her niece. It has a volume of 12 cubic feet. The chest is 3 feet long and 2 feet wide. How deep is it? Answer: The depth of the chest is 2 ft.

Explanation: Given that Aponi built a toy chest for her niece. It has a volume of 12 cubic feet. The chest is 3 feet long and 2 feet wide. So the depth of the toy chest is, let the depth be h 12 = 3 × 2 × h 12 = 6 × h h = 12 ÷ 6 = 2 ft.

Question 8. The rug in Alan’s room has an area of 18 square feet. He is planning to buy another rug that is twice as long and twice as wide. What is the area of the new rug? Answer: The area of the new rug is 72 square feet.

Explanation: Given that the rug in Alan’s room has an area of 18 square feet, so the possible length and the wide of the rug will be 3 ft long and 6 ft wide. And he is planning to buy another rug that is twice as long and twice as wide, so the length will be 6 ft long and the wide will be 12 ft. So the area of the new rug will be 6 × 12 which is 72 square feet.

Question 9. Each drawer in Monique’s nightstand has a volume of 6 cubic decimeters. Each drawer in her dresser is twice as long, twice as wide, and twice as deep. What is the volume of one of Monique’s dresser drawers? Answer:

Explanation: In the above figure, Fong has 6 × 5 × 3 which has 90 cubes and Daphne has 5 × 4 × 4 which has 80 cubes. So Fong used more 90 – 80 which is 10 cubes more.

Math Expressions Grade 5 Unit 8 Lesson 12 Remembering

Explanation: The multiplication of 3.8 and 5.4 is 20.52

Explanation: The multiplication of 0.30 and 6.7 is 2.01.

Explanation: The multiplication of 3.3 and 0.78 is 2.574.

Explanation: The multiplication of 0.04 and 7.3 is 0.292.

Explanation: The multiplication of 0.6 and 5.14 is 3.054.

Explanation: The multiplication of 8.3 and  2.8 is 23.24.

Find the unknown dimension or volume of each rectangular prism.

Question 7. V = ________ l = 7cm w = 4cm h = 9cm Answer: The volume of the rectangular prism is 252 cubic cm.

Explanation: Given that the length is 7 cm, width is 4 cm and the height of the 9 cm of the rectangular prism. So the volume of the rectangular prism is = l × w × h = 7 × 4 × 9 = 252 cubic cm.

Question 8. V = 200 cu yd l = ________ w = 5yd h = 5yd Answer: The length of the rectangular prism is 8 yd.

Explanation: Given that the width is 5 yd and the height of the 5 yd of the rectangular prism and the volume of the rectangular prism is 200 cu yd. Let the length be l, so the length is V = l × w × h 200 = l × 5 × 5 200 = l × 25 l = 200 ÷ 25 = 8 yd.

Question 9. V = 160 cu in. l = 10 in. w = _______ h = 4in. Answer: The width of the rectangular prism is 40 in.

Explanation: Given that the length is 10 in and the height of the 4 in of the rectangular prism and the volume of the rectangular prism is 160 cu in. Let the width be w, so the width is V = l × w × h 160 = 10 × w × 4 160 = 40 × w w = 160 ÷ 40 = 40 in.

Question 10. V = ________ l = 10 cm w = 8 cm h = 6 cm Answer: The volume of the rectangular prism is 252 cubic cm.

Explanation: Given that the length is 7 cm, width is 4 cm and the height of the 9 cm of the rectangular prism. So the volume of the rectangular prism is V = l × w × h = 7 × 4 × 9 = 252 cubic cm.

Question 11. V = 297 cu m l = _______ w = 9 m h = 3 m Answer: The length of the rectangular prism is 11 m.

Explanation: Given that the width is 9 m and the height of the 3 m of the rectangular prism and the volume of the rectangular prism is 297 cu m. Let the length be l, so the length is V = l × w × h 297 = l × 9 × 3 297 = l × 27 l = 297 ÷ 27 = 11 m.

Question 12. V = 126 cu in. l = 9 in. w = _______ h = 7 in. Answer: The width of the rectangular prism is 2 in.

Explanation: Given that the length is 9 in and the height of the 7 in of the rectangular prism and the volume of the rectangular prism is 126 cu in. Let the width be w, so the width is V = l × w × h 126 = 9 × w × 7 126 = 63 × w w = 126 ÷ 63 = 2 in.

Question 13. Stretch Your Thinking Give one real world example for measuring each of the following: perimeter, area, volume. Answer: Here, the amount of fencing to go around play area and the amount of wood flooring to buy to cover the living room and the amount of water to put into a fish tank are the real-world example for measuring.

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