The oblique prism has a rectangular base with a width of 10 units and a length of 13 units.

the top base extends 8 units to the right of the bottom base. what is the volume of the prism?

1,040 cubic units
1,360 cubic units
1,950 cubic units
2,210 cubic units

we know that

The volume of the prism is equal to

where

B is the area of the base

h is the height of the prism

Step 1

Find the area of the rectangular base

we know that

the area of a rectangle is equal to

In this problem we have

Step 2

Find the height of the prism

Applying the Pythagoras Theorem

solve for h

Step 3

Find the volume of the prism

The volume of the prism is equal to

substitute the values

therefore

the answer is

11/6 or 1 5/6

Simplify 6/3

6/3÷3/3=2/1

Change 2/1

2/1×6/6=12/6

New Problem: 12/6+(-1/6)

Add

12+-1/6=11/6

Simplify

11/6 = 1 5/6