19.4 Surface area and volume of prisms and cylinders — Practise

1. A cuboid measures 4 cm by 3 cm by 2 cm. Work out its volume.
2. A cuboid measures 5 cm by 4 cm by 3 cm. Work out its surface area.
3. A triangular prism has cross-section area 12 cm² and length 8 cm. Work out its volume.
4. A triangular prism has a triangular cross-section with base 6 cm and perpendicular height 4 cm. Its length is 10 cm. Work out its volume and state which area formula you use.
5. A cylinder has radius 3 cm and height 5 cm. Work out its volume in terms of π.
6. A cylinder has radius 2 cm and height 7 cm. Work out its curved surface area in terms of π.
7. A cylinder has radius 4 cm and height 6 cm. Work out its total surface area in terms of π.
8. A prism has volume 180 cm³ and length 12 cm. Work out its cross-section area. Explain why you divide by the length.