Year 10 Interactive Maths - Second Edition

Problem Solving

Example 44

The length of a cuboid is 25 cm, its width is 21 cm, and its volume is 3675 cm³.  Find its height.

Solution:

So, the height of the cuboid is 7 cm.

Example 45

How many 6 cm cubes will fit into a rectangular box whose internal measurements are 60 cm by 54 cm by 42 cm?

Solution:

Example 46

A cylindrical tank of diameter 7 m and depth 4 m is full of water. The water is drained into a rectangular prism 11 m long, 7 m wide and 3 m high, as shown in the following diagram.

Solution:

For the cylinder:

Let the height of the water in the prism be h m.

So, the water will rise to a height of 2 m in the prism.