Fred is making two rectangular flower beds.

The dimensions of the larger rectangle will be three times the dimensions of the smaller rectangle.

There is going to be the same depth of soil in each flower bed. Fred needs 180 kg of soil for the smaller flower bed.

Work out how much soil Fred needs for the larger flower bed.

$A$ and$B$are two similar vases.

Vase $A$ has height 10 cm.
Vase $B$ has height 15 cm.

The difference between the volume of vase $A$ and the volume of vase $B$ is 1197 cm³

Calculate the volume of vase $A$

...................................................... cm³

Mathematically similar wooden blocks are made in a workshop.

There are small blocks and there are large blocks.

The volume of each small block is 300cm³

Given that the surface area of each small block : the surface area of each large block = 25 : 36

work out the volume of each large block.

....................................................... cm³

A standard tin and a large tin are mathematically similar.
The volume of the large tin is 50% more than the volume of the standard tin.
Both tins are cylinders.
The radius of the standard tin is 10cm.

Calculate the radius of the large tin.

........................... cm