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A cube has a total surface area of 600 cm². Which of the following is its volume?

easy MCQ 2 marks Class 8 · Mathematics · Cubes and Cube Roots

1000 cm³
1200 cm³
800 cm³
600 cm³

Answer

1000 cm³

The correct answer is 1000 cm³ — Therefore, the volume is $1000$ cm³.

Step-by-step solution

Write the formula for surface area of a cube: $S = 6 a^{2}$ .
Set $6 a^{2} = 600$ and solve for $a$ .
$a^{2} = 100 \Rightarrow a = 10$ cm.
Use volume formula $V = a^{3}$ .
Compute $V = 1 0^{3} = 1000$ cm³.
Therefore, the volume is $1000$ cm³.

Common mistake: Using

a^{2}

instead of

a^{3}

for volume.

Concept tested: Cube surface area to volume

Published 13 October 2026 · How this solution was prepared and checked

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