Question

# The total surface area of cube is $$216 cm ^{2}$$.Find its volume.

Solution

## $$6 (Edge)^{2}$$ = Total surface area of the a cube Substituting the values$$6 (Edge)^{2} = 216cm^{2} = \dfrac{216}{6}$$ By further calculation$$(Edge)^{2} = 36$$Edge $$= \sqrt{36}$$Edge $$= 6 cm$$We know thatVolume of the given cube $$(Edge)^{3} = (6)^{3} = 6 \times 6 \times 6 = 216 cm^{3}$$Mathematics

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