A cubical part of side 10 cm is removed out of a cuboidal solid block with dimensions 11 cm - 12 cm - 13 cm- Calculate the volume of the remaining solid-

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Word Problems on Volumes of Cubes and Cuboids

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Question

A cubical part of side 10 cm is removed out of a cuboidal solid block with dimensions 11 cm $\times$ 12 cm $\times$ 13 cm. Calculate the volume of the remaining solid.

916 cubic cm

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816 cubic cm

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1716 cubic cm

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716 cubic cm

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Solution

The correct option is D 716 cubic cm
Volume of remaining solid = Volume of block - Volume of the part removed

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

Volume of the block = 11 $\times$ 12 $\times$ 13
= 1,716 cubic cm

Volume of the hole = 10 $\times$ 10 $\times$ 10
= 1,000 cubic cm

Remaining volume = 1,716 - 1,000
= 716 cubic cm

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A cubical part of side 10 cm is removed out of a cuboidal solid block with dimensions 11 cm × 12 cm × 13 cm. Calculate the volume of the remaining solid.

A cubical part of side 10 cm is removed out of a cuboidal solid block with dimensions 11 cm $\times$ 12 cm $\times$ 13 cm. Calculate the volume of the remaining solid.