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Back to Tutor Intake Assessment: Find the volume of a right rectangular prism with fractional edge lengths

6.G.A.2 Tutor Intake -- Volume with Fractional Edge Lengths

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Grade 6·7 problems·~8 min·Common Core Math - Grade 6·standard·6-g-a-2
Work through problems with immediate feedback
A

Concepts

1

A box measuring 11/2 in x 1 in x 1 in is packed completely with
1/2-inch cubes, and 12 cubes fit exactly. Each 1/2-inch cube has
a volume of 1/8 cubic inch. What is the TOTAL volume of the box?

2

A 1 x 1 x 1/2 ft prism is packed with 1/2-foot cubes: 2 cubes fit
along the length, 2 along the width, and 1 along the height.
Multiply the cube counts together to find the total number of
1/2-foot cubes that fit in the prism.

B

Procedures

1

A prism is packed with 1/3-foot cubes, and 36 cubes fit exactly.
Each 1/3-foot cube has volume 1/27 cubic foot. What is the
prism's total volume, in cubic feet? (Give your answer as a
fraction in simplest form, e.g., 3/4.)

2

Find the volume of a right rectangular prism with edges
21/2 ft, 3 ft, and 4 ft, using V = lwh. Convert any mixed number
to an improper fraction before multiplying.

3

A right rectangular prism has a base area of 12 square feet and
a height of 21/2 feet. Using V = Bh, find the prism's volume, in
cubic feet.

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