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The total surface area of a cube is 1350 sq. m. Find its volume.:

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answer is C.

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Detailed Solution

Concept: To solve this question, first calculate the sides of the cube from the given total surface area of the cube. This is equal to

, then use the formula Cube Volume =

to find the required cube volume. Where a represents the side of the cube.
Consider the sides of a cube as metres. And it is known that the total area of the cube is given by

. Therefore, the total area of the cube is equal to

So you can write:
Question Image

The square of 225 is

, so we can replace 225 with

Volume of cube =

; where is equal to 15
On further solving we get
Question Image

Hence, the correct answer is option (3).

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