The top base extends 8 units to the right of the bottom base. What is the volume of the prism?
O 1,040 cubic units
O 1,360 cubic units
O 1,950 cubic units
0 2,210 cubic units

1,950 cubic units

Step-by-step explanation:

The computation of the volume of the prism is shown below;

As we know that

where,

V = Volume of the prism

B = Area of the base

h = height of the prism

But before that,  we need to do the following calculations

a. Area of rectangle is

b. Now the height of the prism which could find out by using the Pythagoras theorem

So, the volume of the prism is

= 1,950 cubic units

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4