Question

What is the volume of this right triangular prism?

A) 144.2 cm3
B) 164.8 cm3
C) 288.4 cm3
D) 1153.6 cm3

Answer 1

The volume =0.5* Length * width * height
= 0.5* 7 *4* 10.3 =144.2 cm3

Answer 2

The volume of the given right triangular prism can be found by first calculating the area of the right triangle and then multiplying it with the length of the prism.

Let us find the area of the right triangle. As can be seen from the diagram the height, h of the right triangle is 7 cm and the base, b of the right triangle is 4 cm.

Therefore, the area of the triangle is:

Area=
`(1)/(2)* b* h=(1)/(2)* 4* 7=14 cm^2`

Thus, the volume of the right triangular prism will be:

Volume=Area x Length of the prism

Volume=
`14* 10.3=144.2 cm^3`

Thus, out of the given options, option A is the correct option.