Math 9 · Unit 14: Volume, surface area and symmetry · Cambridge Lower Secondary Maths Stage 9

Questions

1. 1. A prism has a cross-section of 20 cm² and length 8 cm. What is its volume?

   • 160 cm³
   • 28 cm³
   • 160 cm²
   • 80 cm³
   Check

2. 2. Drag the missing numbers into the boxes to find the volume of this prism.

   Fill the blanks with these.

   • 9
   • 90
   • 21
   • 6
   • 15
   Check

3. 3. Drag the missing numbers into the boxes to find the volume of this prism.

   Fill the blanks with these.

   • 108
   • 12
   • 21
   • 9
   • 3
   Check

4. 4. Drag the missing numbers into the boxes to find the volume of this prism.

   Fill the blanks with these.

   • 360
   • 30
   • 42
   • 18
   • 12
   Check

5. 5. Drag the missing numbers into the boxes to find the volume of this prism.

   Fill the blanks with these.

   • 320
   • 12
   • 160
   • 32
   Check

6. 6. Drag the missing numbers into the boxes to find the volume of this prism.

   Fill the blanks with these.

   • 15
   • 105
   • 210
   • 30
   Check

7. 7. Drag the missing numbers into the boxes to find the volume of this prism. Use the π button on your calculator and round to 2 decimal places.

   Fill the blanks with these.

   • 12.57
   • 552.92
   • 50.27
   • 16
   • 4
   • 276.46
   • 8
   Check

8. 8. Work out the volume of this prism. The area of the cross-section is given.

   • 150 cm³
   • 300 cm³
   • 75 cm³
   • 31 cm³
   Check

9. 9. Work out the volume of this prism. The area of the cross-section is given.

   • 25.2 cm³
   • 1296 cm³
   • 129.6 cm³
   • 64.8 cm³
   Check

10. 10. Work out the volume of this prism. The area of the cross-section is given.

    • 427.5 cm³
    • 213.75 cm³
    • 54.5 cm³
    • 4275 cm³
    Check

11. 11. A prism has a cross-section of 8.4 cm² and length 20 cm. What is its volume?

    • 28.4 cm³
    • 16.8 cm³
    • 168 cm³
    • 84 cm³
    Check

12. 12. A prism has a cross-section of 24 cm² and a volume of 156 cm³. How long is it?

    • 6.5 cm
    • 3744 cm
    • 7 cm
    • 132 cm
    Check

13. 13. A prism is 5.7 m long and has a volume of 330.6 m³. What is the area of its cross-section?

    • 58 m²
    • 1884.4 m²
    • 336.3 m²
    • 5.8 m²
    Check

14. 14. A prism has a cross-section of 56.85 mm² and a volume of 3524.7 mm³. How long is it?

    • 62 mm
    • 3467.85 mm
    • 620 mm
    • 6.2 mm
    Check

15. 15. Work out the volume of this prism.

    • 26 cm³
    • 48 cm³
    • 240 cm³
    • 480 cm³
    Check

16. 16. Work out the volume of this prism.

    • 1248 cm³
    • 960 cm³
    • 60 cm³
    • 480 cm³
    Check

17. 17. Work out the volume of this prism.

    • 675 cm³
    • 54 cm³
    • 1125 cm³
    • 1350 cm³
    Check

18. 18. Timo works out the volume of this cylinder: V = πr²h = π × 6² × 8 = π × 36 × 8 = 905 cm³ (3 s.f.). He has made a mistake. What is it?

    • There is no mistake.
    • He should have used 2πr instead of πr².
    • He used the diameter, 6 cm, as the radius. The volume is 226 cm³.
    • He forgot to divide by 3. The volume is 302 cm³.
    Check

19. 19. A cylinder has radius 4 cm and height 15 cm. What is its volume, to 1 decimal place?

    • 377.0 cm³
    • 754.0 cm³
    • 188.5 cm³
    • 240.0 cm³
    Check

20. 20. A cylinder has radius 2.8 cm and height 20 cm. What is its volume, to 1 decimal place?

    • 156.8 cm³
    • 492.6 cm³
    • 351.9 cm³
    • 175.9 cm³
    Check