Answer:
Explanation:
a) Here, we want to calculate the surface area of the tent excluding the floor
From the diagram, we have 2 triangles (height 24 ft, base 16 ft)
We also have 2 rectangles of (25 ft by 40 ft)
We have the area of the triangle as follows:
[tex]\begin{gathered} A\text{ = }\frac{1}{2}\times b\times h \\ \\ A\text{ = }\frac{1}{2}\times24\times16\text{ = 192 ft}^2 \\ \\ Since\text{ they are two, we have:} \\ 2\times\text{ 192 ft}^2\text{ = 384 ft}^2 \end{gathered}[/tex]
For the rectangles, we have:
[tex]\begin{gathered} A\text{ = l }\times\text{ b} \\ A=\text{ 25 }\times\text{ 40 = 1000 ft}^2 \\ Since\text{ they are 2} \\ =\text{ 2 }\times\text{ 1000 = 2,000 ft}^2 \end{gathered}[/tex]
Thus, we have the area as:
[tex]2000\text{ + 384 = 2,384 ft}^2[/tex]
b) Here, we want to calculate the volume
Let us calculate the area of the base:
[tex]Area\text{ = 40 }\times\text{ 14 = 560 ft}^2[/tex]
So, we have the total surface area as:
[tex]2,384\text{ + 560 = 2,944 ft}^2[/tex]
The volume is the product of the height and surface area
[tex]2,944\text{ ft}^2\times\text{ 24 = 70,656 ft}^3[/tex]
