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Q. 17

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Pre-algebra

Found in: Page 624

Book edition Common Core Edition

Author(s) Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff

Pages 183 pages

ISBN 9780547587776

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Short Answer

Find the surface area of the prism, cylinder, or pyramid. Round to the nearest whole number.

The surface area is 184 square meters.

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given Information.

The figure is shown below.

Step 2. Formula used.

$Area of rectangle = length \times width$

$Area of triangle = (\frac{1}{2} \times base \times height)$

Step 3. Calculation.

Find the area of the base of the pyramid.

$\begin{matrix} {Area}_{1} = 10 \times 6 \\ = 60 \end{matrix}$

The area of the two slant sides of the pyramid.

$\begin{matrix} {Area}_{2} = 2 \times (10 \times 5) \\ = 2 \times 50 \\ = 100 \end{matrix}$

Find the area of the two triangular sides of pyramid.

$\begin{matrix} {Area}_{3} = 2 \times (\frac{1}{2} \times 6 \times 4) \\ = 2 \times 12 \\ = 24 \end{matrix}$

Total surface area (A) of the figure is equal to the sum of ${Area}_{1}$ , ${Area}_{2}$ and ${Area}_{3}$ .

$\begin{matrix} A = 100 + 60 + 24 \\ = 184 \end{matrix}$

Step 4. Conclusion.

The surface area of pyramid is 184 square meters.

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