All edges of the following cube are $7$7 cm long.
Find the length of $EG$EG. Give your answer as a surd in simplest form.
Find the length of $AG$AG. Give your answer as a surd in simplest form.
Find $x$x, the size of $\angle EGH$∠EGH.
Find $y$y, the size of $\angle EGA$∠EGA, correct to 2 decimal places.
Find $w$w, the size of $\angle AHG$∠AHG.
Find $z$z, the size of $\angle AGH$∠AGH, correct to 2 decimal places.
A rectangular prism has dimensions as labelled on the diagram.
A square prism has sides of length $3$3cm, $3$3cm and $14$14cm as shown.
A triangular prism has as dimensions those labelled on the diagram.