Question

He 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

Answer 1

Then the correct answer is c =
`1950units^(3)`

Explanation:

Hello ! Let's solve this!

First we have to calculate the height and then apply the volume formula that is:

V = Ab * h

V = volume

Ab = base area

h=height

`h=\sqrt{17^(2) -8^(2) }`

`h=√(225)=15 units`

Ab = 10 units * 13 units =
`130units^(2)`

V =
`130units^(2)` * 15 units

V =
`1950units^(3)`

Then the correct answer is c =
`1950units^(3)`

Answer 2

The correct option is 3.

Explanation:

It is given that 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.

From the figure the height of prism is

`h=√((17)^2-8^2)=√(225)=15`

The height of prism is 15.

The volume of prism is

`V=(\text{base area })* h`

`V=(10* 13)* 15`

`V=1950`

The volume of prism is 1950 unit². Therefore the correct option is 3.