Question

What's the volume? I honestly just need the formula.

Answer 1

Answer:

$v=364.5\ m^3$

Step-by-step explanation:

Volume Of A Regular Solid

When a solid has a constant cross-section, the volume can be found by multiplying the area of the base by the height. The area of a trapezium is

$\displaystyle A_t=\frac{b_1+b_2}{2}h$

where $b_1$ and $b_2$ are the lengths of the parallel sides and h the distance between them.

The figure shows a solid with a trapezoid as the constant cross-section and a height x. The volume of the solid is

$\displaystyle v=A_t\ x$

$\displaystyle v=\frac{b_1+b_2}{2}\ h\ x$

The image doesn't explicitly say if the length of 4.5 is the height of the trapezium or the length of that side. We'll assume the first, so our data is:

$\displaystyle b_1=7m,\ b_2=11m,\ h=4.5m,\ x=9m$

We now compute the volume

$\displaystyle v=\frac{7+11}{2}.(4.5)(9)=364.5$

$\boxed{\displaystyle v=364.5\ m^3}$