AI generatedGeometry and measuresKS3 / GCSE

Surface area of a cone

Surface area of a cone.

  • Count every exposed face. State whether a flat base is included.
  • For a prism, use both end faces and the rectangular side faces.
  • Use squared units. A cone’s curved area uses slant height, not perpendicular height.

Example 1

Find the total surface area, including every base. Give an exact answer.

Cone, not to scaleNot to scale
Use the slant height l for curved area πrl, then add the circular base πr².Substitute the labelled dimensions. Keep π exact when it appears.

Example 2

Find the total surface area, including every base. Give an exact answer.

Cone, not to scaleNot to scale
Use the slant height l for curved area πrl, then add the circular base πr².Substitute the labelled dimensions. Keep π exact when it appears.

Your turn

Question 1

Find the total surface area, including every base. Give an exact answer.

Cone, not to scaleNot to scale
Check answer
Use the slant height l for curved area πrl, then add the circular base πr².Substitute the labelled dimensions. Keep π exact when it appears.
Question 2

Find the total surface area, including every base. Give an exact answer.

Cone, not to scaleNot to scale
Check answer
Use the slant height l for curved area πrl, then add the circular base πr².Substitute the labelled dimensions. Keep π exact when it appears.
Question 3

Find the total surface area, including every base. Give an exact answer.

Cone, not to scaleNot to scale
Check answer
Use the slant height l for curved area πrl, then add the circular base πr².Substitute the labelled dimensions. Keep π exact when it appears.
Question 4

Find the total surface area, including every base. Give an exact answer.

Cone, not to scaleNot to scale
Check answer
Use the slant height l for curved area πrl, then add the circular base πr².Substitute the labelled dimensions. Keep π exact when it appears.
Question 5

Find the total surface area, including every base. Give an exact answer.

Cone, not to scaleNot to scale
Check answer
Use the slant height l for curved area πrl, then add the circular base πr².Substitute the labelled dimensions. Keep π exact when it appears.
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