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Answers without the blur. Sign up and see all textbooks for free! Q. 17

Expert-verified Found in: Page 624 ### Pre-algebra

Book edition Common Core Edition
Author(s) Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff
Pages 183 pages
ISBN 9780547587776 # 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 1. Given Information.

The figure is shown below. ## Step 2. Formula used.

$\text{Area of rectangle}=\text{length}×\text{width}$

$\text{Area of triangle}=\left(\frac{1}{2}×\text{base}×\text{height}\right)$

## Step 3. Calculation.

Find the area of the base of the pyramid.

$\begin{array}{c}{\text{Area}}_{\text{1}}=10×6\\ =60\end{array}$

The area of the two slant sides of the pyramid.

$\begin{array}{c}{\text{Area}}_{\text{2}}=2×\left(10×5\right)\\ =2×50\\ =100\end{array}$

Find the area of the two triangular sides of pyramid.

$\begin{array}{c}{\text{Area}}_{3}=2×\left(\frac{1}{2}×6×4\right)\\ =2×12\\ =24\end{array}$

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

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

## Step 4. Conclusion.

The surface area of pyramid is 184 square meters. ### Want to see more solutions like these? 