Question

Which formula could be used to find the area of the base (B) of the given figure? Determine the volume of the figure.

A) B = bh; 22.5 yds3
B) B = (b1 + b2)h; 216 yds3
C) B = 1 2 (b1 + b2); 7 yds3
D) B = 1 2 (b1 + b2)h; 168 yds3

Answer 1

Answer:D because is like finding the area of a trapezoid and adding the volume of a prism.

Explanation:

Answer 2

Option D.

`B=(1)/(2)(b1+b2)h`,
`168\ yd^(3)`

Explanation:

Part a) we know that

The figure is a trapezoidal prism

The volume is equal to

`V=BL`

where B is the area of the base

L is the length of the prism

Find the area of the base B

`B=(1)/(2)(b1+b2)h`

substitute the values

`B=(1)/(2)(9+5)(4)=28\ yd^(2)`

Part b) Find the volume

we have

`B=28\ yd^(2)`

`L=6\ yd`

substitute

`V=28(6)=168\ yd^(3)`