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Surface Area & Volume of Prisms (Mixed Review) — Easy Worksheet 2
Grade 7 · MathSheets Name: ____________________ Date: __________
Solve each problem.
How to solve
Rectangular prism: Volume = length × width × height, and Surface Area = 2(lw + lh + wh). Triangular prism: Volume = (12 × base × height of the triangle) × length of the prism.
Example
Find the volume of a rectangular prism with length 5, width 4, and height 4.
Answer: 80
Not quite. The answer is
💡 Volume = length × width × height = 5 × 6 × 2 = 60. The volume is 60 cubic units.
✓ Correct!
Not quite. The answer is
💡 Volume = length × width × height = 5 × 6 × 2 = 60. The volume is 60 cubic units.
💡 How to solve: Surface Area & Volume of Prisms (Mixed Review)
Rectangular prism: Volume = length × width × height, and Surface Area = 2(lw + lh + wh). Triangular prism: Volume = (12 × base × height of the triangle) × length of the prism.
Try a similar one
Find the volume of a rectangular prism with length 3, width 3, and height 4.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Add the three pairs of faces: SA = 2 × (l × w + l × h + w × h) = 2 × (3 × 4 + 3 × 4 + 4 × 4) = 2 × (12 + 12 + 16) = 2 × 40 = 80. The surface area is 80 square units.
✓ Correct!
Not quite. The answer is
💡 Add the three pairs of faces: SA = 2 × (l × w + l × h + w × h) = 2 × (3 × 4 + 3 × 4 + 4 × 4) = 2 × (12 + 12 + 16) = 2 × 40 = 80. The surface area is 80 square units.
💡 How to solve: Surface Area & Volume of Prisms (Mixed Review)
Rectangular prism: Volume = length × width × height, and Surface Area = 2(lw + lh + wh). Triangular prism: Volume = (12 × base × height of the triangle) × length of the prism.
Try a similar one
Find the volume of a rectangular prism with length 4, width 3, and height 2.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Area of the triangle base: 12 × 6 × 2 = 6. Volume = base area × length = 6 × 2 = 12. The volume is 12 cubic units.
✓ Correct!
Not quite. The answer is
💡 Area of the triangle base: 12 × 6 × 2 = 6. Volume = base area × length = 6 × 2 = 12. The volume is 12 cubic units.
💡 How to solve: Surface Area & Volume of Prisms (Mixed Review)
Rectangular prism: Volume = length × width × height, and Surface Area = 2(lw + lh + wh). Triangular prism: Volume = (12 × base × height of the triangle) × length of the prism.
Try a similar one
Find the volume of a rectangular prism with length 2, width 5, and height 3.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Volume = length × width × height = 2 × 5 × 3 = 30. The volume is 30 cubic units.
✓ Correct!
Not quite. The answer is
💡 Volume = length × width × height = 2 × 5 × 3 = 30. The volume is 30 cubic units.
💡 How to solve: Surface Area & Volume of Prisms (Mixed Review)
Rectangular prism: Volume = length × width × height, and Surface Area = 2(lw + lh + wh). Triangular prism: Volume = (12 × base × height of the triangle) × length of the prism.
Try a similar one
Find the volume of a rectangular prism with length 6, width 2, and height 3.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Add the three pairs of faces: SA = 2 × (l × w + l × h + w × h) = 2 × (6 × 3 + 6 × 3 + 3 × 3) = 2 × (18 + 18 + 9) = 2 × 45 = 90. The surface area is 90 square units.
✓ Correct!
Not quite. The answer is
💡 Add the three pairs of faces: SA = 2 × (l × w + l × h + w × h) = 2 × (6 × 3 + 6 × 3 + 3 × 3) = 2 × (18 + 18 + 9) = 2 × 45 = 90. The surface area is 90 square units.
💡 How to solve: Surface Area & Volume of Prisms (Mixed Review)
Rectangular prism: Volume = length × width × height, and Surface Area = 2(lw + lh + wh). Triangular prism: Volume = (12 × base × height of the triangle) × length of the prism.
Try a similar one
Find the volume of a rectangular prism with length 2, width 3, and height 2.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Area of the triangle base: 12 × 5 × 2 = 5. Volume = base area × length = 5 × 4 = 20. The volume is 20 cubic units.
✓ Correct!
Not quite. The answer is
💡 Area of the triangle base: 12 × 5 × 2 = 5. Volume = base area × length = 5 × 4 = 20. The volume is 20 cubic units.
💡 How to solve: Surface Area & Volume of Prisms (Mixed Review)
Rectangular prism: Volume = length × width × height, and Surface Area = 2(lw + lh + wh). Triangular prism: Volume = (12 × base × height of the triangle) × length of the prism.
Try a similar one
Find the volume of a rectangular prism with length 3, width 3, and height 5.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Volume = length × width × height = 5 × 5 × 3 = 75. The volume is 75 cubic units.
✓ Correct!
Not quite. The answer is
💡 Volume = length × width × height = 5 × 5 × 3 = 75. The volume is 75 cubic units.
💡 How to solve: Surface Area & Volume of Prisms (Mixed Review)
Rectangular prism: Volume = length × width × height, and Surface Area = 2(lw + lh + wh). Triangular prism: Volume = (12 × base × height of the triangle) × length of the prism.
Try a similar one
Find the volume of a rectangular prism with length 4, width 6, and height 6.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Add the three pairs of faces: SA = 2 × (l × w + l × h + w × h) = 2 × (2 × 4 + 2 × 3 + 4 × 3) = 2 × (8 + 6 + 12) = 2 × 26 = 52. The surface area is 52 square units.
✓ Correct!
Not quite. The answer is
💡 Add the three pairs of faces: SA = 2 × (l × w + l × h + w × h) = 2 × (2 × 4 + 2 × 3 + 4 × 3) = 2 × (8 + 6 + 12) = 2 × 26 = 52. The surface area is 52 square units.
💡 How to solve: Surface Area & Volume of Prisms (Mixed Review)
Rectangular prism: Volume = length × width × height, and Surface Area = 2(lw + lh + wh). Triangular prism: Volume = (12 × base × height of the triangle) × length of the prism.
Try a similar one
Find the volume of a rectangular prism with length 6, width 6, and height 5.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
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Surface Area & Volume of Prisms (Mixed Review) — Easy Worksheet 2
Solve each problem.