To calculate the surface area of prism using a net
Answer to Problem 3CR
The surface area of prism can be calculated using net
Explanation of Solution
Given information: A prism
Calculation:
The net of a solid figure is formed when a solid figure is unfolded along its edges and its faces are laid out in a pattern in two dimensions. Nets of rectangular prisms are made up of rectangles and squares. Using a net to find the surface area of a rectangular prism
Finding the areas of each of the rectangles and squares of the net of a rectangular prism and adding up those areas gives the surface area or total surface area of the prism.
For example, if the length of one side of the cube 4 units then the area of one its face is,
4 × 4 = 16 square units.
From the net, there are six equal faces and so the total surface area is,
6 × 16 = 96 square units.
Surface Area of a Rectangular Prism using Nets
A rectangular prism or cuboid is formed by folding a net as shown −
As can be seen from the net that there are two rectangles with dimensions 3 cm by 6 cm, two rectangles with dimensions 2 cm by 6 cm and two rectangles with dimensions 2 cm by 3 cm. The total surface area is then
2 × 3 × 6 + 2 × 2 × 6 + 2 × 2 × 3 = 72 cm2
Chapter 10 Solutions
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
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