The volume of a cuboid 5 cm by 4 cm by 3 cm is 60 cm³ and the volume of a 4 cm cube is 64 cm³, so this Year 8 sheet opens with two stored volumes. The answers record 54 cm² as a surface area and cross-section × length as a prism volume.
Key Takeaways
The 5 cm by 4 cm by 3 cm cuboid has volume 60 cm³ (Q1).
The 4 cm cube has volume 64 cm³ (Q2).
Q3 records 54 cm² as a surface area.
Section A: Multiple Choice Questions (1 Mark Each)
Choose the correct option for each question.
1.The volume of a cuboid with length 5 cm, breadth 4 cm and height 3 cm is
(a) 12 cm³(b) 60 cm³(c) 20 cm³(d) 47 cm³
2.The volume of a cube of edge 4 cm is
(a) 16 cm³(b) 64 cm³(c) 12 cm³(d) 8 cm³
3.The total surface area of a cube of edge 3 cm is
(a) 54 cm²(b) 27 cm²(c) 36 cm²(d) 18 cm²
4.The volume of a cylinder of radius r and height h is
(a) πrh(b) πr²h(c) 2πrh(d) πr²
5.The volume of a prism is equal to
(a) Length + area of cross-section(b) Area of cross-section × length(c) Area of cross-section ÷ length(d) 2 × area of cross-section × length
6.One litre is equal to
(a) 1000 cm³(b) 100 cm³(c) 10 000 cm³(d) 1 cm³
Section B: Short Answer Type Questions (2 Marks Each)
Show all steps clearly.
7.Write the formula for the volume of a cuboid.
8.Find the volume of a cube of edge 5 cm.
9.Write the formula for the total surface area of a cube of edge a.
10.Write the formula for the volume of a cylinder.
11.Find the volume of a cuboid with length 6 cm, breadth 5 cm and height 4 cm.
12.Write the formula for the volume of a prism.
13.Find the total surface area of a cube of edge 2 cm.
14.How many cubic centimetres are in one litre?
Section C: Numericals & Word Problems (3 Marks Each)
Apply the concepts to solve the problems. Show all working.
15.A fish tank is 40 cm long, 30 cm wide and 25 cm high. Find its volume.
16.Find the volume of a cube whose edge is 6 cm.
17.A box measures 20 cm × 15 cm × 10 cm. Find the maximum number of cubes of edge 5 cm that fit inside.
18.Find the volume of a cylinder of radius 7 cm and height 10 cm (take π = 22/7).
19.The total surface area of a cube is 96 cm². Find the length of its edge.
20.A rectangular tank holds 720 cm³ of water. Its base measures 12 cm by 10 cm. Find its height.
Answer Key
1. b) 60 cm³
2. b) 64 cm³
3. a) 54 cm²
4. b) πr²h
5. b) Area of cross-section × length
6. a) 1000 cm³
7. Refer to solution guide.
8. Refer to solution guide.
9. Refer to solution guide.
10. Refer to solution guide.
11. Refer to solution guide.
12. Refer to solution guide.
13. Refer to solution guide.
14. Refer to solution guide.
15. Refer to solution guide.
16. Refer to solution guide.
17. Refer to solution guide.
18. Refer to solution guide.
19. Refer to solution guide.
20. Refer to solution guide.
End of Worksheet
People Also Ask
What is the volume of a cuboid 5 cm by 4 cm by 3 cm?
60 cm³, option (b) in this worksheet (Q1).
What is the volume of a cube of edge 4 cm?
64 cm³, option (b) in this worksheet (Q2).
What is the volume of a prism?
Area of cross-section × length, option (b) in this worksheet (Q5).
Stuck on a similar problem? Clear your next doubt instantly with the Doubt Solver.
Browse more free worksheets for IGCSE Year 8.