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A solid wooden cuboid of dimensions 60 cm × 45 cm × 30 cm is cut completely into smaller cubes of side 5 cm each. Find the number of smaller cubes for
Question

A solid wooden cuboid of dimensions 60 cm × 45 cm × 30 cm is cut completely into smaller cubes of side 5 cm each. Find the number of smaller cubes formed.

A.

584

B.

622

C.

920

D.

648

Correct option is D

Given
Dimensions of cuboid = 60 cm × 45 cm × 30 cm
Side of smaller cube = 5 cm
Formula Used
Number of cubes = Volume of CuboidVolume of one Cube \frac{\text{Volume of Cuboid}}{\text{Volume of one Cube}}​​
Solution
Volume of cuboid = 60 × 45 × 30
Volume of smaller cube = 5 × 5 × 5
Number of cubes = 60×45×305×5×5\frac{60 × 45 × 30}{5 × 5 × 5}​​
Number of cubes = 12 × 9 × 6
Number of cubes = 648
Final Answer
So the correct answer is (d)

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