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

Respuesta :

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

[tex]h=\sqrt{(17)^2-8^2}=\sqrt{225}=15[/tex]

The height of prism is 15.

The volume of prism is

[tex]V=(\text{base area })\times h[/tex]

[tex]V=(10\times 13)\times 15[/tex]

[tex]V=1950[/tex]

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

Ver imagen DelcieRiveria

Answer:

Then the correct answer is c = [tex]1950units^{3}[/tex]

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

[tex]h=\sqrt{17^{2} -8^{2} }[/tex]

[tex]h=\sqrt{225}=15 units[/tex]

Ab = 10 units * 13 units = [tex]130units^{2}[/tex]

V = [tex]130units^{2}[/tex] * 15 units

V = [tex]1950units^{3}[/tex]

Then the correct answer is c = [tex]1950units^{3}[/tex]