Surface Area, Volume and Compound Shapes (Questions)

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Surface Area, Volume and Compound Shapes — Questions

IGCSE Mathematics (0580) practice questions. Work through each question before checking the solutions page.

Question 1

[2](a)Calculate the volume of a cylinder with radius 4 cm and height 10 cm.
Question 2

[2](a)Calculate the volume of a sphere with radius 6 cm.
Question 3

[3](a)A cone has base radius 3 cm and height 8 cm. Calculate its slant height, and hence its volume.
Question 4

[1](a)Calculate the volume of a cube with side length 5 cm.
[2](b)Calculate its surface area.
Question 5

[2](a)A triangular prism has cross-sectional area 12 cm² and length 10 cm. Calculate its volume.
Question 6

[2](a)Calculate the volume of a hemisphere with radius 3 cm.
Question 7

[3](a)A compound shape is made from a rectangle (8 cm × 5 cm) with a semicircle (diameter 5 cm) attached to one side. Calculate its total area.
Question 8

[3](a)Calculate the total surface area of a cylinder with radius 3 cm and height 7 cm.
Question 9

[2](a)Calculate the volume of a cone with base radius 5 cm and height 12 cm.
Question 10

[2](a)Calculate the surface area of a sphere with radius 4 cm.
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