A cubical piece of length 6 cm is cut out of a cubical cake of length 8 cm. Calculate the volume of the remaining cake.

296 cubic cm

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396 cubic cm

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276 cubic cm

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256 cubic cm

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Solution

The correct option is A 296 cubic cm
Volume of the remaining cake = Volume of the bigger cake - Volume of the cake removed

Volume of cube
= Length $\times$ Width $\times$ Height

For a cube: length = width = height

Volume of the bigger cake
= 8 $\times$ 8 $\times$ 8
= 512 cubic cm

Volume of the cubic portion took out
= 6 $\times$ 6 $\times$ 6
= 216 cubic cm

Remaining volume = 512 - 216
= 296 cubic cm

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