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 onl…

Question

asked Oct 20, 2021 169k views

1 Answer

David Robertson · Answer 1 · 2021-10-26T21:17:45+0000

Answer:

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.