Edexcel IGCSE Math A 4.10.C surface area of simple solids

Practise surface-area questions by finding the area of each exposed face, excluding hidden or unpainted faces when the context says so.

Exam points

Calculate total surface area of a triangular prism, cuboid or similar solid.
Find each face area separately before adding the exposed surfaces together.
Exclude a base or hidden face when a painting or container context requires it.

[Maximum number: 3]

The diagram shows a solid triangular prism.

Figure for Question 4.10.C The surface area of simple shapes using the area question 1 — Edexcel IGCSE Math A Higher

Work out the total surface area of the triangular prism.

Diagram NOT accurately drawn

\begin{aligned} 8\times6&=48\\ \frac12\times8\times6&=24\\ 15\times8&=120\\ 15\times6&=90\\ 15\times10&=150 \end{aligned}

\text{Surface area}=120+90+150+24+24=408

Final answer:

408

M1 for a correct method to find the areas of 2 different faces, not two triangles; allow $8\times6$ as one area.
M1 for adding 4 or 5 values for area, at least 3 from a correct method.
A1 cao. SC B2 for an answer of 456 if no other marks awarded.

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4.10.C The surface area of simple shapes using the area question 1