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AustraliaNSW
Stage 5.1-3

6.10 Pythagoras in 3D

Interactive practice questions

All edges of the following cube are $7$7 cm long.

a

Find the exact length of $EG$EG as a surd.

b

Use your answer from part (a) to find the exact length of $AG$AG in simplest surd form.

Easy
3min

A square prism has sides of length $5$5cm, $5$5cm and $9$9cm as shown.

Easy
3min

Consider the triangular prism below.

Medium
4min

The following is a right pyramid on a square base with side length $20$20cm. A right pyramid has its apex aligned directly above the centre of its base.

The edge length $VA$VA is $30$30cm.

Medium
5min
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Outcomes

MA5.3-15MG

applies Pythagoras' theorem, trigonometric relationships, the sine rule, the cosine rule and the area rule to solve problems, including problems involving three dimensions

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