Question

The volume of a square prism is 3600 cubic centimetres and its base area is 144 square centimetres. What is its surface area?

Answer 1

Base area of the square prism = 144 cm²

⇒ (Side)² = 144 cm²

⇒ Side =

Volume of the square prism = 3600 cm³

⇒ Base area × Height = 3600 cm³

⇒ 144 cm² × Height = 3600 cm³

⇒ Height =

Perimeter of the base = 4 × side = 4 × 12 cm = 48 cm

Lateral surface area of the square prism = Perimeter of the base × Height

= (48 × 25) cm²

= 1200 cm²

Surface area of the square prism = 2 × Base area + Lateral surface area

= (2 × 144 + 1200) cm²

= 1488 cm²