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Common Core Standard 5.MD.C.5a Questions

Find the volume of a right rectangular prism with whole-number side lengths by packing it with unit cubes, and show that the volume is the same as would be found by multiplying the edge lengths, equivalently by multiplying the height by the area of the base. Represent threefold whole-number products as volumes, e.g., to represent the associative property of multiplication.

You can create printable tests and worksheets from these questions on Common Core standard 5.MD.C.5a! Select one or more questions using the checkboxes above each question. Then click the add selected questions to a test button before moving to another page.

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Grade 5 Volume CCSS: 5.MD.C.4, 5.MD.C.5, 5.MD.C.5a

In this right rectangular prism, each small cube measures 1 centimeter on each side.
Cube Units 4

Select the TWO expressions that could be the dimensions of a new right rectangular prism that has 12 more centimeter cubes than the original prism.

$2 xx 5 xx 6$
$3 xx 8 xx 2$
$4 xx 2 xx 8$
$5 xx 3 xx 4$
$9 xx 2 xx 2$

Grade 5 Volume CCSS: 5.MD.C.4, 5.MD.C.5, 5.MD.C.5a

In this right rectangular prism, each small cube measures 1 unit on each side.
Cube Units 2

Select the description that could be the dimensions of a new right rectangular prism that has 6 fewer unit cubes than the original prism.

2 cubes long, by 3 cubes wide, by 3 cubes high
3 cubes long, by 2 cubes wide, by 4 cubes high
3 cubes long, by 3 cubes wide, by 3 cubes high
5 cubes long, by 2 cubes wide, by 3 cubes high

Grade 5 Volume CCSS: 5.MD.C.5, 5.MD.C.5a

Imani needs to find the volume of the prism shown using three methods.
Cube Units 3

Select the THREE methods that will allow Imani to find the volume of the prism.

counting unit cubes
adding the edge lengths
multiplying the edge lengths
adding the area of the base to the height
multiplying the area of base by the height

Grade 5 Volume CCSS: 5.MD.C.5, 5.MD.C.5a, MP7

In this right rectangular prism, each small cube measures 1 unit on each side.
Cube Units 4

$*$ What is the volume of the prism?

$*$ Explain how you found the volume. You may show your work in your explanation.

$*$ What could be the dimensions of a new right rectangular prism that has 16 fewer unit cubes than the original prism?

$*$ Explain how you determined the dimensions of the new right rectangular prism.

Enter your answers and your explanations in the space provided.

Grade 5 Volume CCSS: 5.MD.C.5, 5.MD.C.5a, MP7

In this right rectangular prism, each small cube measures 1 unit on each side.
Thousand Cubes

$*$ What is the volume of the prism?

$*$ Explain how you found the volume. You may show your work in your explanation.

$*$ What would be the dimensions of a new right rectangular prism that has 100 fewer unit cubes than the original prism?

$*$ Explain how you determined the dimensions of the new right rectangular prism.

Enter your answers and your explanations in the space provided.

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