Volume and surface area

Worksheet: Volume and surface area

Name:Class:

Answer the questions.

1. A prism has a base area of 12 cm² and a height of 5 cm. What is its volume?
   a) 17 cm³b) 30 cm³c) 60 cm²d) 60 cm³
2. A triangular prism has a triangle area of 20 cm² and length 8 cm. What is its volume?
   a) 160 cm³b) 28 cm³c) 320 cm³d) 80 cm³
3. The volume of a cuboid 2 cm by 3 cm by 4 cm is 24 cm³.
   a) Trueb) False
4. A cylinder has base radius 3 cm and height 10 cm. Its volume is (leave in terms of π)?
   a) 30π cm³b) 60π cm³c) 900π cm³d) 90π cm³
5. A cylinder has base area 25 cm² and height 4 cm. What is its volume in cm³?
6. Which formula gives the volume of a cylinder with radius r and height h?
   a) 2π r hb) π r hc) π r² + hd) π r² h
7. What is the total surface area of a cuboid 2 cm by 3 cm by 4 cm?
   a) 24 cm²b) 26 cm²c) 48 cm²d) 52 cm²
8. What is the surface area of a cube with edges of 5 cm, in cm²?
9. A cube with side 1 m has a volume of 100 cm³.
   a) Trueb) False
10. How many millilitres are in 1 litre?
    a) 10b) 10 000c) 100d) 1000
11. 1 cm³ is the same as how much capacity?
    a) 1 centilitreb) 1 litrec) 1 millilitred) 10 millilitres
12. A tank holds 3 litres. How many cm³ is that?
13. A cone has base area 30 cm² and height 6 cm. Its volume is ⅓ × base area × height. What is it?
    a) 180 cm³b) 20 cm³c) 60 cm³d) 90 cm³
14. Using V = 4/3 π r³, a sphere of radius 3 cm has volume?
    a) 108π cm³b) 12π cm³c) 27π cm³d) 36π cm³
15. A cone and a cylinder have equal base and height. The cone's volume is one third of the cylinder's.
    a) Trueb) False
16. A cuboid tank is 50 cm by 40 cm by 30 cm. How many litres can it hold?
    a) 120 litresb) 6 litresc) 60 litresd) 600 litres