Volume of a Rectangular Prism Worksheets - Free Printable

Let’s solve each part step by step.

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Part A: Find the volume of each rectangular prism.

Volume of a rectangular prism = length × width × height

We’ll multiply the three dimensions given for each shape.

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Shape 1 (left):
Dimensions: 8 ft, 4 ft, 16 ft
→ Volume = 8 × 4 × 16
First: 8 × 4 = 32
Then: 32 × 16
Break it down: 30×16 = 480, and 2×16=32 → 480 + 32 = 512
✔ Volume = 512 cubic feet

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Shape 2 (middle):
Dimensions: 12 in, 7 in, 9 in
→ Volume = 12 × 7 × 9
First: 12 × 7 = 84
Then: 84 × 9
Break it down: 80×9 = 720, 4×9=36 → 720 + 36 = 756
✔ Volume = 756 cubic inches

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Shape 3 (right):
Dimensions: 2 yd, 4 yd, 6 yd
→ Volume = 2 × 4 × 6
2 × 4 = 8
8 × 6 = 48
✔ Volume = 48 cubic yards

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Part B: Find the volume from given parameters.

Again, use: Volume = length × width × height

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Problem 4:
length = 19 in, width = 17 in, height = 13 in
→ 19 × 17 × 13

First: 19 × 17
19 × 10 = 190
19 × 7 = 133
190 + 133 = 323

Now: 323 × 13
323 × 10 = 3230
323 × 3 = 969
3230 + 969 = 4199

✔ Volume = 4199 cubic inches

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Problem 5:
height = 14 ft, length = 11 ft, width = 8 ft
→ 14 × 11 × 8

First: 14 × 11 = 154
Then: 154 × 8
150 × 8 = 1200
4 × 8 = 32
1200 + 32 = 1232

✔ Volume = 1232 cubic feet

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Problem 6:
length = 3 yd, height = 16 yd, width = 18 yd
→ 3 × 16 × 18

First: 3 × 16 = 48
Then: 48 × 18
48 × 10 = 480
48 × 8 = 384
480 + 384 = 864

✔ Volume = 864 cubic yards

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Problem 7:
length = 26 in, height = 9 in, width = 7 in
→ 26 × 9 × 7

First: 26 × 9 = 234
Then: 234 × 7
200 × 7 = 1400
30 × 7 = 210
4 × 7 = 28
1400 + 210 = 1610; 1610 + 28 = 1638

✔ Volume = 1638 cubic inches

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Problem 8:
A rectangular prism has:
- length = 12 feet
- width = 8 feet
- height = 9 feet

→ Volume = 12 × 8 × 9

First: 12 × 8 = 96
Then: 96 × 9
90 × 9 = 810
6 × 9 = 54
810 + 54 = 864

✔ Volume = 864 cubic feet

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Final Answer:

A)
1) 512 ft³
2) 756 in³
3) 48 yd³

B)
4) 4199 in³
5) 1232 ft³
6) 864 yd³
7) 1638 in³
8) 864 ft³