Back to Exercise: Find the volume of a right rectangular prism with fractional edge lengths

Find the Volume of a Right Rectangular Prism with Fractional Edge Lengths

Show all work. Convert any mixed numbers to improper fractions before multiplying. Include cubic units in all answers.

Grade 6·21 problems·~35 min·Common Core Math - Grade 6·standard·6-g-a-2
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A

Recall / Warm-Up

1.

What is the volume of a rectangular prism with length 5 cm, width 3 cm, and height 4 cm?

2.

What is 34×23\frac{3}{4} \times \frac{2}{3}?

3.

Convert 2122\frac{1}{2} to an improper fraction.

B

Fluency Practice

Rectangular prism with dimensions 2 ft by 1/2 ft by 1/3 ft, showing unit fraction cubes of edge 1/6 ft being packed along the 2 ft length.
1.

A rectangular prism has dimensions 2×12×132 \times \frac{1}{2} \times \frac{1}{3} feet. You pack it with cubes of edge length 16\frac{1}{6} ft. How many small cubes fit along the length (2 ft)?

2.

Find the volume of a rectangular prism with l=34l = \frac{3}{4} m, w=2w = 2 m, h=52h = \frac{5}{2} m.

3.

Find the volume: l=23l = \frac{2}{3} ft, w=34w = \frac{3}{4} ft, h=12h = \frac{1}{2} ft.

4.

A prism has a base area of B=7B = 7 cm² and a height of h=32h = \frac{3}{2} cm. Find its volume using V=BhV = Bh.

5.

Find the volume: l=112l = 1\frac{1}{2} in, w=2w = 2 in, h=34h = \frac{3}{4} in. (Convert the mixed number first.)

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