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.

Study Another Topic in Chapter 14: Measurement

[ Pythagoras' Theorem ] [ Perimeter ] [ Problem Solving ] [ Area ] [ Area of a Parallelogram ] [ Area of a Rhombus ] [ Area of a Trapezium ] [ Area of a Circle ] [ Area of a Composite Figure ] [ Problem Solving ] [ Surface Areas ] [ Total Surface Area of a Cuboid ] [ Curved Surface Area of a Cylinder ] [ Total Surface Area of a Cylinder ] [ Total Surface Area of a Pyramid ] [ Total Surface Area of a Cone ] [ Surface Area of a Sphere ] [ Volume ] [ Volume of a Cuboid ] [ Volume of a Cylinder ] [ Volume of a Triangular Prism ] [ Capacity ] [ Volume of a Pyramid ] [ Volume of a Cone ] [ Volume of a Sphere ] [ Problem Solving ] [ Problem Solving Unit ] [ Projects ] [ Symbols ] [ Index ]