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If lateral surface area of a cube is 144 cm2cm^2cm2​, then find its volume.
Question

If lateral surface area of a cube is 144 cm2cm^2​, then find its volume.

A.

216 cubic cm

B.

117.58 cubic cm

C.

1728 cubic cm

D.

864 cubic cm

Correct option is A

Given:
Lateral surface area of cube = 144 cm2cm^2​​

Formula Used:
Lateral surface area of cube = 4a2a^2​​
Volume = a3a^3​​
Solution:
4a2=144a2=36a=6cm4a^2= 144\\a^2= 36\\a= 6cm​​
Volume =a3=216cm3a^3 = 216 cm^3​​

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