The number of cubes of side 3 cm that can be cut from a cuboid of dime

1.	The number of cubes of side 3 cm that can be cut from a cuboid of dimensions 10 cm × 9 cm × 6 cm, isA. 9B. 10C. 18D. 20
Answer» 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

The number of cubes of side 3 cm that can be cut from a cuboid of dimensions 10 cm × 9 cm × 6 cm, isA. 9B. 10C. 18D. 20

Answer»

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