In the diagram PQRS is a rhombus$\left| PR \right|=10cm\text{ and }\left| QS \right|=24cm$. Calculate the perimeter of the rhombus.

If the volume of a cube is 343cm³. Find the length of its side

A bucket holds 10 litres of waters. How many buckets of water will fill a reservoir of size 8m × 7m × 5m(1 litres = 1000cm³)

The capacity of a water tank is 1,800 litres. If the tank is in the form of a cuboid with base 600cm by 150cm, find the height of the tank

PQRS is a trapezium. $QR\parallel PS,\text{ }\left| QR \right|=6cm,\text{ }\left| PS \right|=10cm\text{ and }\angle QPS={{42}^{\circ }}$

Calculate; correct to the nearest cm² the area of the trapezium

PQRS is a trapezium. $QR\parallel PS,\text{ }\left| QR \right|=6cm,\text{ }\left| PS \right|=10cm\text{ and }\angle QPS={{42}^{\circ }}$

Calculate the perpendicular distance between the parallel between the parallel sides

The perimeter of a sector of a circle of radius 21cm is 64cm. Find the angle of the sector. Take [$\pi=\tfrac {22}{7}$ ].

In the diagram, MOPQ is a trapezium with $QP\parallel MO,$$MQ\parallel NP$$NQ\parallel OP$. $\left| OP \right|=9cm$and the height of $\vartriangle QNP=6cm$. Calculate the area of the trapezium

A sphere of radius r cm has the same volume as the cylinder of radius 3cm and height 4cm. Find the value of r

The volume of a pyramid with height 15cm is 90cm³. If its base is a rectangle with dimensions xcm by 6cm, find the value of x