Practice problemGrade 5 · Math
2.The base layer is 5 × 3. There are four layers. Find the volume using V = B × h.
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Practice problemGrade 5 · Math
3.Complete the equation and explain the grouping.
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Practice problemGrade 5 · Math
4.A rectangular prism has a base area of 24 cm² and a height of 6 cm. Find the volume.
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Practice problemGrade 5 · Math
5.A rectangular prism has a volume of 60 in3, l = 5 in, and w = 3 in. Find the height h.
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Practice problemGrade 5 · Math
6.A rectangular prism measures 4 × 2 × 5. Label the base area, number of layers, and volume.
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Practice problemGrade 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.
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Practice problemGrade 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.
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Practice problemGrade 5 · Math
1.A fish tank has dimensions 60 cm by 30 cm by 40 cm. Find the volume of the fish tank.
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Practice problemGrade 5 · Math
2.A storage box has dimensions 4 in by 3 in by 4 in. Find the volume of the storage box.
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Practice problemGrade 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.
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Practice problemGrade 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?
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Practice problemGrade 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.
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Practice problemGrade 5 · Math
6.Which box holds more? Box A or Box B?
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Practice problemGrade 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.
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Practice problemGrade 5 · Math
8.Design a rectangular container with a volume of 72 cubic units. Draw it, label the dimensions, and verify the volume.
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Practice problemGrade 5 · Math
1.L-shape A is made of a 4 × 2 × 2 prism and a 2 × 2 × 1 prism. Find the total volume.
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Practice problemGrade 5 · Math
2.Draw a dashed cut in L-shape A and label the two component prisms.
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Practice problemGrade 5 · Math
3.L-shape B is made of a 5 × 3 × 1 prism and a 2 × 2 × 2 prism. Find the total volume.
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Practice problemGrade 5 · Math
4.Use a different cut for L-shape B. Show that the sum is unchanged.
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Practice problemGrade 5 · Math
5.Complete the table for L-shape B using the given component prisms.
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Practice problemGrade 5 · Math
6.A student claims, “The overlapping cubes can be counted twice.” Use the overlap sketch to explain why this is not correct.
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Practice problemGrade 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.
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Practice problemGrade 5 · Math
8.The same L-shape can be decomposed two ways. Which decomposition is more efficient? Show both equations.
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Practice problemGrade 5 · Math
1.Design three different rectangular boxes, each with a volume of 240 in3. Record the length, width, and height for each design.
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