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Surface Areas and Volumes
RD Sharma
CBSE
Grade 10

Question:

The dimensions of a metallic cuboid are $100\text{ cm} \times 80\text{ cm} \times 64\text{ cm}$. Find the side of a cube having volume equal to this cuboid.

Step-by-Step Solution

Key Concept: Cuboid Vol $= 100 \times 80 \times 64 = 512000\text{ cm}^3$. $a^3 = 512000 \Rightarrow a = 80\text{ cm}$.
$a^3 = 512000$. [1.0 Mark]
$a = \sqrt[3]{512000} = 80\text{ cm}$. [1.0 Mark]

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🎯 Official CBSE Marking Scheme:
Calculating cuboid volume $= 512000\text{ cm}^3$: 1.0 Mark
Evaluating cube side $= 80\text{ cm}$: 1.0 Mark

Correct Answer:
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