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Dimensional measures for AQA GCSE Maths

Dimensional measures

This page covers the following topics:

1. Length
2. Area
3. Volume
4. Area of triangles, parallelograms and trapezia

Length is a measure of the distance between two points. It is given in mm, cm and m.

Length

Area is a measure of the amount of space inside a 2D-shape. It is calculated by multiplying the length and width of a shape. Area is given in units mmยฒ, cmยฒ and mยฒ.

Area

Volume is a measure of the amount of space inside a 3D-shape. It is calculated by multiplying the length, width and height of a shape. Area is given in units mmยณ, cmยณ and mยณ.

Volume

The area of a triangle is given by the following formula: Area = (base ร— height)/2. The area of a parallelogram is given by the following formula: Area = base ร— height. The area of a trapezium is given by the following formula: (a + b)h/2, where h is the perpendicular height of the trapezium, and a and b are its opposite parallel sides.

Area of triangles, parallelograms and trapezia

1

What is the area of a parallelogram of base 10 cm and height 6 cm?

Area = (10)(6) = 60 cmยฒ.

What is the area of a parallelogram of base 10 cm and height 6 cm?

2

Given that the base of the parallelogram is 20 cm and its area is 84 cmยฒ, calculate its height.

84 = (20)(height), so height = 4.2 cm.

Given that the base of the parallelogram is 20 cm and its area is 84 cmยฒ, calculate its height.

3

Find the total area of the given shape.

Area = 4(4) + 10(2) = 36 cmยฒ.

Find the total area of the given shape.

4

Find the total area of the given shape.

Area = 3(3) + 3(3) + 2(12) = 42 cmยฒ.

Find the total area of the given shape.

5

What is the area of a rectangle of side 4 cm and 8 cm?

Area = 4(8) = 32 cmยฒ.

What is the area of a rectangle of side 4 cm and 8 cm?

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