Question

The lateral surface area of a cube is 256cm sqare find its volume

Answer 1

Lateral Surface Area of cube=256 cm²
4(side)² =256
side²=256÷4
side²=64
side=√64=8 cm
Volume of the cube=(side)³=8×8×8=512 cm³.
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Answer 2

L.S.A of a cube  = 256 cm^2
i.e.,      4a^2       = 256
              a^2       = 256/4 = 64
              a           = Root of 64
                           = 8cm

Volume of cube = a^3
                        = 8^3
                        = 512cm^3



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