Let’s solve each problem one by one. We’ll use the formula for volume of a rectangular prism:
Volume = length × width × height
Or, if you’re given base area and height:
Volume = base area × height
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Problem 1:
Dimensions: 8 in × 4.5 in × 6 in
Volume = 8 × 4.5 × 6
First, 8 × 4.5 = 36
Then, 36 × 6 =
216 cubic inches
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Problem 2:
It’s a cube! All sides are 12 ft.
Volume = 12 × 12 × 12
12 × 12 = 144
144 × 12 =
1728 cubic feet
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Problem 3:
Dimensions: 8 yd × 5 yd × 3 yd
Volume = 8 × 5 × 3
8 × 5 = 40
40 × 3 =
120 cubic yards
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Problem 4:
Dimensions: 9 cm × 3 cm × 3 cm
Volume = 9 × 3 × 3
9 × 3 = 27
27 × 3 =
81 cubic centimeters
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Problem 5:
Dimensions: 11 m × 7 m × 9 m
Volume = 11 × 7 × 9
11 × 7 = 77
77 × 9 =
693 cubic meters
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Problem 6:
Dimensions: 12 ft × 8 ft × 8 ft
Volume = 12 × 8 × 8
12 × 8 = 96
96 × 8 =
768 cubic feet
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Problem 7:
Base area = 152 square yards, height = 22 yards
Volume = base area × height = 152 × 22
Let’s break it down:
150 × 22 = 3300
2 × 22 = 44
Total = 3300 + 44 =
3344 cubic yards
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Problem 8:
Base area = 13 square feet, height = 7 feet
Volume = 13 × 7 =
91 cubic feet
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Final Answer:
1) 216 in³
2) 1728 ft³
3) 120 yd³
4) 81 cm³
5) 693 m³
6) 768 ft³
7) 3344 yd³
8) 91 ft³
Parent Tip: Review the logic above to help your child master the concept of volume rectangular prism worksheet answers.
