Practice Surface Area of a Prism in Math

Use these practice problems to test your method after reviewing the concept explanation and worked examples.

Quick Recap

The total area of all faces of a prism, found by adding the areas of the two bases and all lateral (side) faces.

Imagine unfolding a cereal box and laying it flat—you get a net of six rectangles. The surface area is the total area of that flattened cardboard. For any prism, you always have two identical bases plus a 'belt' of rectangles wrapped around the middle.

Example 1

easy
A rectangular prism (box) has length 5 cm, width 3 cm, and height 4 cm. Find its surface area.

Example 2

medium
A triangular prism has a triangular base with base 6 cm and height 4 cm, and the prism's length is 10 cm. The three sides of the triangular base are 5, 5, and 6 cm. Find the total surface area.

Example 3

easy
A cube has side length 7 cm. Find its surface area.

Example 4

hard
A prism has a regular hexagonal base with side length 4 cm. The prism has height 10 cm. Find the surface area. (Area of regular hexagon with side s: A = \frac{3\sqrt{3}}{2}s^2.)
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