Grade 5 math worksheets & problems — Page 41

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7. Compare two solids. Solid A is made of 12 unit cubes. Solid B is made of 18 unit cubes. Which has greater volume? By how many cubic units? Solid A 12 cubes Solid B 18 cubes Grea — Grade 5 problem preview

Practice problem

Grade 5 · Math

7. Compare two solids. Solid A is made of 12 unit cubes. Solid B is made of 18 unit cubes. Which has greater volume? By how many cubic units? Solid A 12 cubes Solid B 18 cubes Grea

Individual task

8. Measure a blank box using your own unit cubes. Draw the cubes or dimensions and record the volume. My unit cube: Drawing or dimensions: Volume = — Grade 5 problem preview

Practice problem

Grade 5 · Math

8. Measure a blank box using your own unit cubes. Draw the cubes or dimensions and record the volume. My unit cube: Drawing or dimensions: Volume =

Individual task

1. A rectangular prism has l = 5, w = 3, h = 4. Find the volume using V = l × w × h. 5 3 4 V = — Grade 5 problem preview

Practice problem

Grade 5 · Math

1. A rectangular prism has l = 5, w = 3, h = 4. Find the volume using V = l × w × h. 5 3 4 V =

Individual task

2. The base layer is 5 × 3. There are four layers. Find the volume using V = B × h. } 4 layers Base layer (5 × 3) V = — Grade 5 problem preview

Practice problem

Grade 5 · Math

2. The base layer is 5 × 3. There are four layers. Find the volume using V = B × h. } 4 layers Base layer (5 × 3) V =

Individual task

3. Complete the equation and explain the grouping. (l × w) × h = l × (w × h) Explain how the grouping shows the same volume. — Grade 5 problem preview

Practice problem

Grade 5 · Math

3. Complete the equation and explain the grouping. (l × w) × h = l × (w × h) Explain how the grouping shows the same volume.

Individual task

4. A rectangular prism has a base area of 24 cm² and a height of 6 cm. Find the volume. V = B × h B = 24 cm2 6 cm V = — Grade 5 problem preview

Practice problem

Grade 5 · Math

4. A rectangular prism has a base area of 24 cm² and a height of 6 cm. Find the volume. V = B × h B = 24 cm2 6 cm V =

Individual task

5. A rectangular prism has a volume of 60 in3, l = 5 in, and w = 3 in. Find the height h. 5 in h = ? 3 in h = — Grade 5 problem preview

Practice problem

Grade 5 · Math

5. A rectangular prism has a volume of 60 in3, l = 5 in, and w = 3 in. Find the height h. 5 in h = ? 3 in h =

Individual task

6. A rectangular prism measures 4 × 2 × 5. Label the base area, number of layers, and volume. 4 5 2 Base area B = Number of layers = Volume V = — Grade 5 problem preview

Practice problem

Grade 5 · Math

6. A rectangular prism measures 4 × 2 × 5. Label the base area, number of layers, and volume. 4 5 2 Base area B = Number of layers = Volume V =

Individual task

7. Choose a formula to find the volume of a prism with B = 18 m² and h = 7 m. Solve and label units. V = l × w × h V = B × h Volume: — Grade 5 problem preview

Practice problem

Grade 5 · Math

7. Choose a formula to find the volume of a prism with B = 18 m² and h = 7 m. Solve and label units. V = l × w × h V = B × h Volume:

Individual task

8. A rectangular prism has a volume of 96 ft3, l = 4 ft, and w = 4 ft. Find the height h and draw a matching prism. 4 ft h = ? 4 ft h = — Grade 5 problem preview

Practice problem

Grade 5 · Math

8. A rectangular prism has a volume of 96 ft3, l = 4 ft, and w = 4 ft. Find the height h and draw a matching prism. 4 ft h = ? 4 ft h =

Individual task

1. A fish tank has dimensions 60 cm by 30 cm by 40 cm. Find the volume of the fish tank. 60 cm 40 cm 30 cm Equation: Volume: cm³ — Grade 5 problem preview

Practice problem

Grade 5 · Math

1. A fish tank has dimensions 60 cm by 30 cm by 40 cm. Find the volume of the fish tank. 60 cm 40 cm 30 cm Equation: Volume: cm³

Individual task

2. A storage box has dimensions 4 in by 3 in by 4 in. Find the volume of the storage box. 4 in 4 in 3 in Equation: Volume: in³ — Grade 5 problem preview

Practice problem

Grade 5 · Math

2. A storage box has dimensions 4 in by 3 in by 4 in. Find the volume of the storage box. 4 in 4 in 3 in Equation: Volume: in³

Individual task

3. Two boxes each have a volume of 48 in³. List three possible whole-number dimension sets for a box with this volume. 1. in × in × in 2. in × in × in 3. in × in × in — Grade 5 problem preview

Practice problem

Grade 5 · Math

3. Two boxes each have a volume of 48 in³. List three possible whole-number dimension sets for a box with this volume. 1. in × in × in 2. in × in × in 3. in × in × in

Individual task

4. A box has dimensions 2 ft by 3 ft by 2 ft. How many 1-ft³ cubes can fit inside the box? 3 ft 2 ft 2 ft Equation: Number of cubes: — Grade 5 problem preview

Practice problem

Grade 5 · Math

4. A box has dimensions 2 ft by 3 ft by 2 ft. How many 1-ft³ cubes can fit inside the box? 3 ft 2 ft 2 ft Equation: Number of cubes:

Individual task

5. A sandbox has dimensions 5 ft by 4 ft by 1 ft. Find the volume of the sandbox. Then explain what 1 cubic foot means in this context. 5 ft 1 ft 4 ft Equation: Volume: ft³ 1 cubic — Grade 5 problem preview

Practice problem

Grade 5 · Math

5. A sandbox has dimensions 5 ft by 4 ft by 1 ft. Find the volume of the sandbox. Then explain what 1 cubic foot means in this context. 5 ft 1 ft 4 ft Equation: Volume: ft³ 1 cubic

Individual task

6. Which box holds more? Box A or Box B? Box A 6 ft 3 ft 2 ft Box B 3 ft 4 ft 3 ft Box A: Box B: Which holds more? — Grade 5 problem preview

Practice problem

Grade 5 · Math

6. Which box holds more? Box A or Box B? Box A 6 ft 3 ft 2 ft Box B 3 ft 4 ft 3 ft Box A: Box B: Which holds more?

Individual task

7. A container has a volume of 120 cm³. The length is 5 cm and the width is 4 cm. Find the height. 5 cm h cm 4 cm Equation: Height: cm — Grade 5 problem preview

Practice problem

Grade 5 · Math

7. A container has a volume of 120 cm³. The length is 5 cm and the width is 4 cm. Find the height. 5 cm h cm 4 cm Equation: Height: cm

Individual task

8. Design a rectangular container with a volume of 72 cubic units. Draw it, label the dimensions, and verify the volume. Equation: Volume: cubic units — Grade 5 problem preview

Practice problem

Grade 5 · Math

8. Design a rectangular container with a volume of 72 cubic units. Draw it, label the dimensions, and verify the volume. Equation: Volume: cubic units

Individual task

1. L-shape A is made of a 4 × 2 × 2 prism and a 2 × 2 × 1 prism. Find the total volume. 4 2 2 1 Total volume = cubic units — Grade 5 problem preview

Practice problem

Grade 5 · Math

1. L-shape A is made of a 4 × 2 × 2 prism and a 2 × 2 × 1 prism. Find the total volume. 4 2 2 1 Total volume = cubic units

Individual task

2. Draw a dashed cut in L-shape A and label the two component prisms. 4 2 2 1 — Grade 5 problem preview

Practice problem

Grade 5 · Math

2. Draw a dashed cut in L-shape A and label the two component prisms. 4 2 2 1

Individual task

3. L-shape B is made of a 5 × 3 × 1 prism and a 2 × 2 × 2 prism. Find the total volume. 5 3 1 2 2 Total volume = cubic units — Grade 5 problem preview

Practice problem

Grade 5 · Math

3. L-shape B is made of a 5 × 3 × 1 prism and a 2 × 2 × 2 prism. Find the total volume. 5 3 1 2 2 Total volume = cubic units

Individual task

4. Use a different cut for L-shape B. Show that the sum is unchanged. 5 3 1 2 2 — Grade 5 problem preview

Practice problem

Grade 5 · Math

4. Use a different cut for L-shape B. Show that the sum is unchanged. 5 3 1 2 2

Individual task

5. Complete the table for L-shape B using the given component prisms. Component Prism l w h Volume (cubic units) 5 × 3 × 1 2 × 2 × 2 Total — Grade 5 problem preview

Practice problem

Grade 5 · Math

5. Complete the table for L-shape B using the given component prisms. Component Prism l w h Volume (cubic units) 5 × 3 × 1 2 × 2 × 2 Total

Individual task

6. A student claims, “The overlapping cubes can be counted twice.” Use the overlap sketch to explain why this is not correct. A B overlap Explanation: — Grade 5 problem preview

Practice problem

Grade 5 · Math

6. A student claims, “The overlapping cubes can be counted twice.” Use the overlap sketch to explain why this is not correct. A B overlap Explanation:

Individual task

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