topic badge

7.09 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

A rectangular prism has dimensions as labelled on the diagram below.

Medium
6min

Consider the triangular prism below.

Medium
4min
Sign up to access Practice Questions
Get full access to our content with a Mathspace account

Outcomes

VCMMG370 (10a)

Apply Pythagoras’ theorem and trigonometry to solving three-dimensional problems in right-angled triangles.

What is Mathspace

About Mathspace