Surface Areas

Year 9 Interactive Maths - Second Edition

A solid is a three-dimensional figure. For example, a house brick is a solid, as it is a three-dimensional figure. Many of the solids we come across in our world are combinations of special types of three-dimensional figures such as prisms, cylinders, pyramids, cones and spheres. Measurement of surface area is very important to us if we are concerned with the quantities of materials to be used to cover the surface area. The sum of the areas of all external surfaces of a three-dimensional object is called its *total surface area (TSA). Total Surface Area of a Cube The total surface area* (TSA) of a cube is the sum of the areas of its six faces.
Consider the cube shown. Each of its six faces is a square with side length l.
Example 21 Find the total surface area of a box whose edges are all 4.5 cm long. Solution:

Key Terms surface area, solid, total surface area, TSA, cube

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Total Surface Area of a Cube