For this square pyramid, find the slant height \(\text{TU}\). Perpendicular drawn from \(\text{T}\) to the base \(=14 ~\text{cm}\), \(\text{O}\) is the centre of the base and \(\text{PQ} = 5~\text{cm}\).

For this cube of side length 12 cm find the length of QS, the diagonal of the base (2 decimal places).

Find the length of the diagonal of the cylinder (1 decimal place).

Find the height of the cone, if \(AC = 11~\text{cm}\) and \(OC = 3~\text{cm}\) (1 decimal place)

A square pyramid has a triangular face of area \(12 ~\text{cm}^2\). The area of the base is \(16 ~\text{cm}^2\). Find the height of the pyramid. 

A cube has a volume of \(64 \text{ cm}^3\). Find the length of the slant height \(CE\)

A cone has a slant height of \(AC=6 \text{ cm}\). Its height is \(4 \text{ cm}\). Find the radius of the cone. 

In the rectangular prism: \(EH=12 \text{ cm}, \,EF=5\text{ cm}\) and \(BF=6 \text{ cm}\). Find the length of \(BH\)

A cylinder has a volume of \(20 \pi \text{ cm}^3\) and radius \(2 \text{ cm}\). Find the length of \(BC\)