Lynette has a metal doorstop with the dimensions shown. each cubic centimeter of the metal in the doorstop has a mass of about 8.6 grams. find the volume of the metal in the doorstop. then find the mass of the doorstop.

(picture is provided)

The answers are:

Volume: 75 cubic centimeters

Mass: 645 grams

Step-by-step explanation:

In order to determine both volume and mass of the doorstop, we have to know the formulas of a triangular prism.

I have attached an image that shows some formulas about triangular prism.

As we see in the image, a triangular prism consists basically in a triangular face and its projection.

So, using the variables and formula of the image:

B=10 cm

H=6 cm

L=2.5 cm

Then, we know the density of the metal that is:

δ=

So, the mass of the doorstop is:

m=δ*V

m=8.6 * 75

m=645 gr

Finally, the volume is 75 and the mass 645 gr