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The volume of a cube is 1728 cm³. Find its total surface area (in cm²).
Question

The volume of a cube is 1728 cm³. Find its total surface area (in cm²).

A.

884

B.

764

C.

864

D.

784

Correct option is C

Given:

Volume of cube V = 1728 cm3728\ \text{cm}^3​​

Formula Used:

For a cube with side (a): V = a3a^3​​

Total Surface Area (TSA) = 6a26a^2​​

Solution:
a3=1728a^3 = 1728

a=17283=12 cm = \sqrt[3]{1728} = 12\ \text{cm}​​

TSA=6a2=6×122=6×144=864 cm2\text{TSA} = 6a^2 = 6 \times 12^2 = 6 \times 144 = 864\ \text{cm}^2​​

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