Chapter 11.2, Problem 17E

To determine

To calculate: the surface area of pyramid

  

Answer to Problem 17E

The surface area is $184$ square meters

Explanation of Solution

Given information: Consider, the data provided in the figure

Length $=10$

Width $=5$

Height $=4$

Base $=6$

Formula used: Area of rectangle $=length\times width$

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

Calculation: To find the area of the base of the pyramid

Area₁$=10\times 6$

Area₁$=60$

For the area of the two slant sides of the pyramid

Area₂$=2\times \left(10\times 5\right)$

Area₂$=100$

The area of the two triangular sides of pyramid

Area₃$=2\times \left(\frac{1}{2}\times 6\times 4\right)$

Area₃$=24$

Total surface area of the figure is= Area₁+ Area₂+ Area₃

Surface area $=100+60+24=184$

So,

The surface area of pyramid is $184$ square meters