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
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