Question

What is the volume of the following triangular prism?

5 cm
15 cm
4 cm
cubic centimeters. You must submit your neat and organized work once you have submitted the test.
Write only the number.

10 points need fast

Answer 1

`V=150cm^3`

Explanation:

First we need to find area of the triangle with a base of 4 cm and a height of 5cm, and then multiply that by the length of the prism of 15cm.

The area of the triangle is given by the formula:

`A_T=(bh)/(2)`

where b is the base:
`b=4cm` and h is the height:
`h=5cm`

thus, in this case we have:

`A_T=((4cm)(5cm))/(2)\\ \\A_T=(20cm^2)/(2) \\\\A_T=10cm^2`

And now, the volume will be the area of the triangle multiplied by the length
`l=15cm` of the prism:

`V=A_T*l`

Substituting the known values:

`V=10cm^2*15cm\\V=150cm^3`

The volume in cubic centimeters is 150.