Question

Find the volume of a cube whose surface area is 150 m2.​

Answer 1

Solution

Given That :-

• surface area of Cube is 150 m².

Find :-

• Volume of Cube

Explanation

Using Formula

★ Surface Area of Cube = 6(Side)²

★Volume of Cube = (Side)³

So,Now

A/C to question,

(surface area of Cube is 150 m².)

==> 6(Side)² = 150

==> (Side)² = 150/6

==> (Side)² = 25

==> Side = ±√(25)

==> Side = ±√(5 × 5)

==> Side = ±5

But, we know Length be always positive .

So, Neglect -5 .

Noe, take

• Side = 5 m

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Now, Calculate Volume of Cube

==> Volume of Cube = (Side)³

Keep Value of Side

==> Volume of Cube = (5)³

==> Volume of Cube = 5 × 5 × 5

==> Volume of Cube = 125 m³

Hence

• Volume of Cube = 125 m³

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