The surface area of a cube is 384 cm². Find its volume.

Given: The surface area of cube = 384cm²

To find: We have to find the volume the cube.

Solution: 

We know the surface area of the cube:

SA of cube = 6a²  

Where, 'a' is the side length of the cube.

384 = 6a²  

384/6 = a²  

64 = a²  ; √64 = a 

a = 8 cm

Now, we know the side length of the cube so we can find the volume of the cube.

Volume of cube = a³  

Volume of cube = 8³  

Volume of cube = 8 x 8 x 8 = 512 cm³  

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Updated on: 10-Oct-2022

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