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

Answer:

The correct option is 3.

Step-by-step 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

$h=\sqrt{(17)^2-8^2}=\sqrt{225}=15$

The height of prism is 15.

The volume of prism is

$V=(\text{base area })\times h$

$V=(10\times 13)\times 15$

$V=1950$

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

Answer 2

Answer:

Then the correct answer is c = $1950units^{3}$

Step-by-step 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

$h=\sqrt{17^{2} -8^{2} }$

$h=\sqrt{225}=15 units$

Ab = 10 units * 13 units = $130units^{2}$

V = $130units^{2}$ * 15 units

V = $1950units^{3}$

Then the correct answer is c = $1950units^{3}$