All edges of the following cube are $7$7 cm long.
Find the exact length of $EG$EG as a surd.
Use your answer from part (a) to find the exact length of $AG$AG in simplest surd form.
A square prism has sides of length $5$5cm, $5$5cm and $9$9cm as shown.
A rectangular prism has dimensions as labelled on the diagram.
Sophia has a pencil box with the dimensions $12$12 cm by $8$8 cm by $6$6 cm, as shown in the figure.