Solids
ICSE · Class 9 · Mathematics
Practice quiz for Solids — ICSE Class 9 Mathematics. MCQs and questions with answers to test your preparation.
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What is the volume of a cube with edge length 6 cm?
A cuboid has dimensions 8 cm × 5 cm × 3 cm. What is its total surface area?
A rectangular tank is 10 m long, 8 m wide, and 5 m deep. How many cubic meters of water can it hold?
If a cube has a volume of 125 cm³, what is the length of its edge?
Sample Questions
Which of the following are correct formulas for a cube with edge 'a'?
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Volume = a³, Total surface area = 6a², Lateral surface area = 4a², Diagonal = a√3
For a cube: Volume = a³, TSA = 6a² (6 faces), LSA = 4a² (4 side faces), Diagonal = a√3. Common mistake: Face diagonal is a√2, but space diagonal is a√3.
Which measurements are needed to find the volume of a cuboid?
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Length, Breadth, Height
Volume of cuboid = length × breadth × height. You need all three dimensions. Diagonal and surface area can be calculated from these three dimensions but are not needed for volume.
A cube has a total surface area of 54 cm². Find its volume.
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27 cm³
TSA = 6a² = 54, so a² = 9, hence a = 3 cm. Volume = a³ = 3³ = 27 cm³. Step-by-step: 54 ÷ 6 = 9, √9 = 3, 3³ = 27.
The lateral surface area of a cuboid with base 6 cm × 4 cm and height 8 cm is:
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160 cm²
Lateral surface area = 2(l + b) × h = 2(6 + 4) × 8 = 2 × 10 × 8 = 160 cm². This covers the 4 vertical faces only, not the top and bottom.
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