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 ABCDEF.

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

Diagram NOT accurately drawn
$EF=8\text{ cm}$ , $DE=6\text{ cm}$ , $DF=10\text{ cm}$ and $BF=25\text{ cm}$ .
Angle $DEF=90^\circ$ .

Work out the total surface area of the prism.
$\mathrm{cm}^{2}$

Areas of faces:
$2\times24=48$ $8\times25=200,\quad 6\times25=150,\quad 10\times25=250$ 48+200+150+250=648

Final answer:
$648\text{ cm}^2$

M2 for a complete method; if not M2, award M1 for at least 3 correct areas. A1.

All question bank results loaded

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