Question

How many cubic blocks of wood of side 15 cm can be cut from a wooden block having dimensions of 40 cm, 5 m, and 81 cm?

1. 480
2. 460
3. 520
4. 450

Answer 1

Correct Answer - Option 1 : 480

Given:

Length of cubic block = 15 cm

Dimensions of cuboid wooden block = 40cm × 5m × 81 cm

Formula used:

Volume cubic block = side³

Volume of cuboid block = lbh

Calculation:

Volume cubic block = side³

⇒ 15³

⇒ 3375 cm³

Volume of cuboid block = lbh

⇒ 40cm × 5m × 81 cm

⇒ 40cm × 500cm × 81 cm

⇒ 1620000 cm³

Suppose N number of cubic block can be cut from wooden block.

∴ 3375 × N = 1,620,000

⇒ N = 1,620,000/3375

⇒ N = 480