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Class 8 Volume of Solids — practice questions with answers

Mensuration · 5 sample questions from the school syllabus. Try each one, then open the answer and the worked solution.

1. What is the formula for the volume of a cuboid with length l, breadth b and height h?
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Answer: A) l x b x h
Volume of a cuboid = length x breadth x height = l x b x h.
2. The volume of a cylinder is 770 cm³ and its height is 5 cm. Using pi = , find the area of its base (in cm²).
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Answer: A) 154
Base area = Volume / height = 770 / 5 = 154 cm².
3. A cylindrical can of radius 7 cm holds 1.54 litres of oil. Using pi = , what is its height (in cm)?
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Answer: C) 10
1.54 L = 1540 cm³. h = V/(pi r²) = 1540 / ( x 49) = 1540 / 154 = 10 cm.
4. A trader sells cooking oil in cylindrical tins of radius 7 cm and height 25 cm.
Using pi = , how many litres of oil does one full tin hold? (1000 cm³ = 1 L)
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Answer: D) 3.85
V = x 7 x 7 x 25 = 22 x 7 x 25 = 3850 cm³ = 3.85 litres.
5. A cube of edge 6 cm and a cylinder of radius 3 cm and height 6 cm stand on a table.
Using pi = , by how many cm³ is the cube's volume greater than the cylinder's volume? (Round to the nearest whole number.)
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Answer: C) 46
Cube = 6³ = 216 cm³. Cylinder = x 3 x 3 x 6 = x 54 = 169.71 cm³. Difference = 216 - 169.71 = 46.29, about 46 cm³.
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