Math practice problems — Page 185

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1. Count the unit cubes. What is the volume of this rectangular prism? Volume = cubic unit. — Grade 5 problem preview

Practice problem

Grade 5 · Math

1. Count the unit cubes. What is the volume of this rectangular prism? Volume = cubic unit.

Individual task

2. Count all the unit cubes, including hidden ones. What is the volume? Volume = cubic units. — Grade 5 problem preview

Practice problem

Grade 5 · Math

2. Count all the unit cubes, including hidden ones. What is the volume? Volume = cubic units.

Individual task

3. Draw three different rectangular prisms that each use exactly 12 unit cubes. Record the length, width, and height for each. L = W = H = L = W = H = L = W = H = — Grade 5 problem preview

Practice problem

Grade 5 · Math

3. Draw three different rectangular prisms that each use exactly 12 unit cubes. Record the length, width, and height for each. L = W = H = L = W = H = L = W = H =

Individual task

4. Look at the two figures. Which represents area and which represents volume? Explain. 3 × 4 square units 3 × 2 × 2 prism The represents area and the represents volume. Explain: — Grade 5 problem preview

Practice problem

Grade 5 · Math

4. Look at the two figures. Which represents area and which represents volume? Explain. 3 × 4 square units 3 × 2 × 2 prism The represents area and the represents volume. Explain:

Individual task

5. This rectangular prism is made of unit cubes. Some cubes are hidden behind the ones you can see. How many cubes are hidden? Hidden cubes = — Grade 5 problem preview

Practice problem

Grade 5 · Math

5. This rectangular prism is made of unit cubes. Some cubes are hidden behind the ones you can see. How many cubes are hidden? Hidden cubes =

Individual task

6. Fill the box below with exactly 8 unit cubes so there are no gaps or overlaps. Draw your arrangement. — Grade 5 problem preview

Practice problem

Grade 5 · Math

6. Fill the box below with exactly 8 unit cubes so there are no gaps or overlaps. Draw your arrangement.

Individual task

7. A student says: "Only the cubes I can see count toward the volume." Is this claim correct? Use the prism below to explain. The claim is not correct because — Grade 5 problem preview

Practice problem

Grade 5 · Math

7. A student says: "Only the cubes I can see count toward the volume." Is this claim correct? Use the prism below to explain. The claim is not correct because

Individual task

8. Two rectangular prisms are shown below. Each is made of 12 unit cubes. Do they have the same volume? Explain. Prism A Prism B Dimensions: Dimensions: Do they have the same volum — Grade 5 problem preview

Practice problem

Grade 5 · Math

8. Two rectangular prisms are shown below. Each is made of 12 unit cubes. Do they have the same volume? Explain. Prism A Prism B Dimensions: Dimensions: Do they have the same volum

Individual task

1. Count the unit cubes. Write the volume. Volume = cubic units — Grade 5 problem preview

Practice problem

Grade 5 · Math

1. Count the unit cubes. Write the volume. Volume = cubic units

Individual task

2. Count the unit cubes. Write the volume. Volume = cubic units — Grade 5 problem preview

Practice problem

Grade 5 · Math

2. Count the unit cubes. Write the volume. Volume = cubic units

Individual task

3. Count the unit cubes. Write the volume. Volume = cubic units — Grade 5 problem preview

Practice problem

Grade 5 · Math

3. Count the unit cubes. Write the volume. Volume = cubic units

Individual task

4. A classroom locker is measured in which unit? Circle the correct unit and explain. in³ or ft³ Unit: Explanation: — Grade 5 problem preview

Practice problem

Grade 5 · Math

4. A classroom locker is measured in which unit? Circle the correct unit and explain. in³ or ft³ Unit: Explanation:

Individual task

5. A small box is packed with 3 rows of 4 cubes and 2 layers. Find the volume and unit. Volume = — Grade 5 problem preview

Practice problem

Grade 5 · Math

5. A small box is packed with 3 rows of 4 cubes and 2 layers. Find the volume and unit. Volume =

Individual task

6. Draw one unit cube and label its edge as 1 cm. How many 1-cm cubes fill a cube with 2-cm edges? ← 1 cm Number of cubes = — Grade 5 problem preview

Practice problem

Grade 5 · Math

6. Draw one unit cube and label its edge as 1 cm. How many 1-cm cubes fill a cube with 2-cm edges? ← 1 cm Number of cubes =

Individual task

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

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