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Edexcel GCSE Maths Spec B – Modular: Booster C © Pearson Education This document may have been altered from the original. 1. Find the surface area of the prism shown in the diagram below. Total so far = Both ends are identical right-angled triangles. Area of one triangle = ½ x base x height = ½ x 12 x 16 = 6 x 16 = 96 cm 2
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Edexcel GCSE Maths Spec B – Modular: Booster C © Pearson Education 2010. This document may have been altered from the original.
To understand how to answer a question about surface areas of prisms.
Objectives
Edexcel GCSE Maths Spec B – Modular: Booster C © Pearson Education 2010. This document may have been altered from the original.
1. A glass paperweight is made in the shape of a right-angled triangular prism, as shown in the diagram below. Find the surface area of the paperweight.
Take each face in turn and find its area.
Edexcel GCSE Maths Spec B – Modular: Booster C © Pearson Education 2010. This document may have been altered from the original.
1. Find the surface area of the prism shown in the diagram below.
Total so far =
Both ends are identical right-angled triangles.
Area of one triangle = ½ x base x height
= ½ x 12 x 16
= 6 x 16 = 96 cm2
Edexcel GCSE Maths Spec B – Modular: Booster C © Pearson Education 2010. This document may have been altered from the original.
Total so far = 2 x 96 +
1. Find the surface area of the prism shown in the diagram below.
Both ends are identical right-angled triangles.
Area of one triangle = ½ x base x height
= ½ x 12 x 16
= 6 x 16 = 96 cm2
Edexcel GCSE Maths Spec B – Modular: Booster C © Pearson Education 2010. This document may have been altered from the original.
1. Find the surface area of the prism shown in the diagram below.
Total so far = 2 x 96 +
Then consider each rectangular face.
Edexcel GCSE Maths Spec B – Modular: Booster C © Pearson Education 2010. This document may have been altered from the original.
1. Find the surface area of the prism shown in the diagram below.
Total so far = 2 x 96 +
Area of ABCD= length x width
= 20 x 30 = 600cm2
Edexcel GCSE Maths Spec B – Modular: Booster C © Pearson Education 2010. This document may have been altered from the original.
1. Find the surface area of the prism shown in the diagram below.
Total so far = 2 x 96 + 600 +
Area of CDEF= length x width
= 12 x 30 = 360cm2
Edexcel GCSE Maths Spec B – Modular: Booster C © Pearson Education 2010. This document may have been altered from the original.
1. Find the surface area of the prism shown in the diagram below.
Total so far = 2 x 96 + 600 + 360 +
Area of ABFE= length x width
= 16 x 30 = 480cm2
Edexcel GCSE Maths Spec B – Modular: Booster C © Pearson Education 2010. This document may have been altered from the original.
1. Find the surface area of the prism shown in the diagram below.
Total so far = 2 x 96 + 600 + 360 + 480
Area of ABFE= length x width
= 16 x 30 = 480cm2
Edexcel GCSE Maths Spec B – Modular: Booster C © Pearson Education 2010. This document may have been altered from the original.
1. Find the surface area of the prism shown in the diagram below.
Total so far = 2 x 96 + 600 + 360 + 480 = 1632cm2
Edexcel GCSE Maths Spec B – Modular: Booster C © Pearson Education 2010. This document may have been altered from the original.
Consider each face separately and think about whether or not you know a formula for finding the area.
Summary
Use your formula sheet if you need help with these.
Carefully work out each area in turn and then add up at the end.
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