Math worksheets & teaching resources — Page 186

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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

7. Build a composite solid of two non-overlapping prisms with a total volume of 100 cm³. Draw the solid and label all dimensions. Total volume = 100 cm³ — Grade 5 problem preview

Practice problem

Grade 5 · Math

7. Build a composite solid of two non-overlapping prisms with a total volume of 100 cm³. Draw the solid and label all dimensions. Total volume = 100 cm³

Individual task

8. The same L-shape can be decomposed two ways. Which decomposition is more efficient? Show both equations. 5 3 1 2 2 Equation 1: Equation 2: More efficient: — Grade 5 problem preview

Practice problem

Grade 5 · Math

8. The same L-shape can be decomposed two ways. Which decomposition is more efficient? Show both equations. 5 3 1 2 2 Equation 1: Equation 2: More efficient:

Individual task

1. Design three different rectangular boxes, each with a volume of 240 in3. Record the length, width, and height for each design. Design Length (in) Width (in) Height (in) A B C — Grade 5 problem preview

Practice problem

Grade 5 · Math

1. Design three different rectangular boxes, each with a volume of 240 in3. Record the length, width, and height for each design. Design Length (in) Width (in) Height (in) A B C

Individual task

2. Verify each design by calculating l × w × h. Design l × w × h (in³) Volume (in³) A B C — Grade 5 problem preview

Practice problem

Grade 5 · Math

2. Verify each design by calculating l × w × h. Design l × w × h (in³) Volume (in³) A B C

Individual task

3. Draw an open box net for your best design. Label all dimensions. — Grade 5 problem preview

Practice problem

Grade 5 · Math

3. Draw an open box net for your best design. Label all dimensions.

Individual task

4. Compare two box designs for fitting in a backpack. Find each volume and explain which fits better. Design 1: 10 × 6 × 4 in Volume = in3 Design 2: 12 × 5 × 4 in Volume = in3 Whic — Grade 5 problem preview

Practice problem

Grade 5 · Math

4. Compare two box designs for fitting in a backpack. Find each volume and explain which fits better. Design 1: 10 × 6 × 4 in Volume = in3 Design 2: 12 × 5 × 4 in Volume = in3 Whic

Individual task

5. A box is 8 × 5 × 6 in. How many 1-in3 cubes fit inside? 8 in 6 in 5 in Number of 1-in³ cubes = — Grade 5 problem preview

Practice problem

Grade 5 · Math

5. A box is 8 × 5 × 6 in. How many 1-in3 cubes fit inside? 8 in 6 in 5 in Number of 1-in³ cubes =

Individual task

6. Create a two-prism display stand with a total volume of 240 in3. Label both component prisms. 1 ? in ? in ? in 2 ? in ? in ? in Prism 1: l = in, w = in, h = in, V = in3 Prism 2: — Grade 5 problem preview

Practice problem

Grade 5 · Math

6. Create a two-prism display stand with a total volume of 240 in3. Label both component prisms. 1 ? in ? in ? in 2 ? in ? in ? in Prism 1: l = in, w = in, h = in, V = in3 Prism 2:

Individual task

7. Find and correct the error in the student's statement. Show the corrected product or a new design that equals 240 in³. Student’s statement: 240 in³ = 24 × 5 × 3 Corrected produc — Grade 5 problem preview

Practice problem

Grade 5 · Math

7. Find and correct the error in the student's statement. Show the corrected product or a new design that equals 240 in³. Student’s statement: 240 in³ = 24 × 5 × 3 Corrected produc

Individual task

8. Which box design is best for a backpack and why? Use dimensions and volume in your explanation. — Grade 5 problem preview

Practice problem

Grade 5 · Math

8. Which box design is best for a backpack and why? Use dimensions and volume in your explanation.

Individual task

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