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Question

The lateral surface area of cube is 256m2. Find its volume.


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Solution

Step 1: Find the edge of the cube.

The lateral surface area of cube =256m2

Let us consider a as the edge of the cube.

The lateral surface area of a cube =4a2

256=4a2a2=256/4a2=64a=8m

Step 2: Find the volume of the cube.

The volume of the cube =a3=83=512m3

Hence, The volume of the cube is 512m3.


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