Australia
10&10a
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
This triangular prism shaped box labelled $ABCDEF$ABCDEF needs a diagonal support inserted as shown.
Hard
5min
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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