Mastering Surface Area
Mathematics
GCSE Higher
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A worksheet covering Surface Area for GCSE Higher students.
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Mastering Surface Area
Subject: MathematicsGrade: GCSE Higher
Name:
Date:
Untitled Worksheet
Grade GCSE Higher
A
Introduction
Review the formulas for surface area of common 3D shapes: cylinders, cones, spheres, prisms, and pyramids. Apply these formulas to solve the questions below.
B
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Calculate the surface area of a cube with side length 5 cm.
[2 marks]2.
Find the surface area of a rectangular prism with length 8 cm, width 3 cm, and height 4 cm.
[2 marks]3.
A cylinder has a radius of 3 cm and a height of 10 cm. Calculate its surface area.
[3 marks]4.
What is the surface area of a sphere with diameter 12 cm? (Use π ≈ 3.14)
[3 marks]5.
Calculate the surface area of a right circular cone with a radius of 4 cm and a slant height of 6 cm.
[3 marks]6.
A triangular prism has a base area of 20 cm² and a length of 10 cm. If the three rectangular sides have areas 15 cm², 18 cm², and 22 cm², find its total surface area.
[4 marks]7.
A pyramid has a square base of side 6 cm. Each slant height is 8 cm. Calculate the total surface area.
[4 marks]8.
A water tank in the shape of a cylinder has a radius of 2.5 meters and a height of 4 meters. Calculate its total surface area.
[4 marks]9.
A sports trophy is in the shape of a hemisphere on top of a cylinder. The hemisphere has a radius of 3 cm, and the cylinder has a height of 10 cm. Find the total surface area, excluding the base of the hemisphere.
[4 marks]10.
Challenge: A model of a lighthouse is built as a cone on top of a rectangular prism. The cone has a radius of 2 meters and a slant height of 3 meters. The prism measures 4 meters by 2 meters by 6 meters. Calculate the total surface area of the model.
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- Created
- 12/30/2025
- Updated
- 12/30/2025
- Type
- worksheet