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Volumes Practice Test 1

Question : 12 of 40

Marks: +1, -0

Solution: 👈: Video Solution

Concept:

The cuboid volume is twice the cube volume, so first find the cube's volume, then its side, then its total surface area.

Explanation:

Volume of cuboid =

9 \times 8 \times 6 = 432\ \mathrm{cm}^3

Since cuboid volume is twice cube volume, cube volume =

\frac{432}{2}=216\ \mathrm{cm}^3

Let the side of the cube be

a

Then

a^3 = 216

, so

a = \sqrt[3]{216} = 6\ \mathrm{cm}

Total surface area of cube =

6a^2 = 6 \times 6^2 = 6 \times 36 = 216\ \mathrm{cm}^2

Answer:

The total surface area of the cube is

216\ \mathrm{cm}^2

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