Explanation
In the equation, we can see that the lateral sides of the frustum are made up of trapezium.
We can extrapolate a part below.
We can find the lateral surface area using the formula below;
[tex]\begin{gathered} \text{Lateral area = 4 }\times(\frac{a+b}{2})s \\ =4(\frac{5+11}{2})\times3.9 \\ =4(\frac{16}{2})\times3.9 \\ =4\times8\times3.9 \\ =124.8\text{square feet} \end{gathered}[/tex]
Answer 1: 124.8 square foot
To find the volume of the frustum we will use the formula below;
[tex]\begin{gathered} \text{Volume of a frustrum =}\frac{h}{3}(a^2+ab+b^2) \\ \therefore V=\frac{2.5}{3}(5^2+5\times11+11^2) \\ V=\frac{2.5}{3}(25+55+121) \\ V=\frac{2.5\times201}{3} \\ V=2.5\times67 \\ V=167.5\text{cubic f}eet \end{gathered}[/tex]
Answer 2: 167.5 cubic feet
