Question

A cuboid measures 60cm by 40cm by 20cm.

Answer 1

Answer:

a) The area of the largest face = 2400 cm², The area of the largest face = 0.24 m²

b) The volume of the cuboid = 48000 cm³, The volume of the cuboid = 0.048 m³

Step-by-step explanation:

The volume of any cuboid = L × W × H, where

L is its length

W is its width

H is its height

∵ A cuboid measures 60 cm by 40 cm by 20 cm.

→ Assume that L = 60 cm, W = 40 cm, H = 20 cm

a)

∵ The largest face is the face who has the largest dimensions

∵ L and W are the largest dimensions

∴ The area of the largest face = L × W

∴ The area of the largest face = 60 × 40

∴ The area of the largest face = 2400 cm²

∵ 1 cm = 1/100 m

∴ 1 cm² = (1/100)² m² = 1/10000 m²

∴ The area of the largest face = 2400 × 1/10000

∴ The area of the largest face = 0.24 m²

b)

∵ The volume of the cuboid = L × W × H

∴ The volume of the cuboid = 60 × 40 × 20

∴ The volume of the cuboid = 48000 cm³

∵ 1 cm = 1/100 m

∴ 1 cm3 = (1/100)³ m³ = 1/1000000 m³

∴ The volume of the cuboid = 48000 × 1/1000000

∴ The volume of the cuboid = 0.048 m³