Question

The number of cubes of side 3 cm that can be cut from a cuboid of dimensions 10 cm × 9 cm × 6 cm, is

A. 9

B. 10

C. 18

D. 20

Answer 1

Correct option is D. 20

Given,

Side of cube = 3 cm

Dimension of cuboid = 10 cm × 9cm × 6 cm

Volume of cuboid = 10 × 9 × 6 = 540 cm³

Volume of cube = a³ = 3³ = 27 cm³

Number of cubes can be formed = \(\cfrac{volume\,of\,cuboid}{vlume\,of\,cube}\)

= \(\cfrac{540}{27}\) = 20