Question

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

Answer 1

1,950 cubic units

Explanation:

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

As we know that

`V=B* h`

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

`= length * breadth`

`= 13 * 10`

`= 130\ units ^2`

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

`17^(2)=8^(2) +h^(2)h^(2)=17^(2)-8^(2)h^(2)=225h = 15\ units`

So, the volume of the prism is

`= 130 * 15`

= 1,950 cubic units