A section of the Great Wall of China is modelled as a trapezoidal prism. The trapezium end is 7 m wide at the bottom, 5 m wide at the top and 8 m high, and the section is 10 m long. Find its volume.
A = 1/2 × (5 + 7) × 8 = 48 m², so V = 48 × 10 = 480 m³
The trainers' drinks cooler is a cylinder with radius 15 cm and height 40 cm. Find its volume in litres, correct to one decimal place.
V = πr²h = π × 15² × 40 = 9000π ≈ 28 274 cm³ ≈ 28.3 L
A fish tank is a rectangular prism 1.2 m long, 0.5 m wide and 0.6 m high. How many litres of water does it hold when full? (1 m³ = 1000 L)
V = 1.2 × 0.5 × 0.6 = 0.36 m³ = 360 L
A tent at a Perth music festival is a triangular prism. The triangular end has a base of 4 m and a height of 3 m, and the tent is 5 m long. Find its volume.
V = (1/2 × 4 × 3) × 5 = 30 m³