Question

11)
10 m
11 m
6.3 m
7 m
5 m
$\boldsymbol{m^2}$

Explanation:

Step1: Identify trapezoid bases

The two parallel sides (bases) of the trapezoidal face are $b_1=10\ \text{m}$ and $b_2=5\ \text{m}$, with height $h=6.3\ \text{m}$.

Step2: Calculate area of trapezoid

Use trapezoid area formula: $\text{Area}_{\text{trapezoid}}=\frac{1}{2}(b_1+b_2)h$
$\text{Area}_{\text{trapezoid}}=\frac{1}{2}(10+5)\times6.3 = \frac{1}{2}\times15\times6.3 = 47.25\ \text{m}^2$

Step3: Find prism volume

Multiply trapezoid area by prism length $l=11\ \text{m}$
$\text{Volume}=\text{Area}_{\text{trapezoid}}\times l = 47.25\times11$

Answer:

$519.75\ \text{m}^3$