Question

Find this figure's volume. Round your answers to the nearest hundredth, if necessary.2 mi6 mi3.5 mi-V =2 mimi³4 mi

Answer 1

The area of this figure is given y the product between the lateral area(red area) and the side length(blue length).

The lateral shape is a trapezoid. The area of a trapezoid is given by half of the sum of the bases times the height.

`A=((B+b)h)/(2)`

The smaller base of this trapezoid measures 2 mi, the bigger base measures 6 mi, and the height measures 3.5 mi. Using those values on the formula, we have the following area:

`A=((6+2)3.5)/(2)=14`

Then, multiplying by the blue length, we have the volume:

`V=14*2=28`

The volume of the figure is 28 mi³.