Answer:
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
\(V=\frac{1}{2}*B*H*L\\V=\frac{1}{2}*10*6*2.5\\V=75\)
Then, we know the density of the metal that is:
δ=\(8.6 \frac{gr}{cm^3}\)
So, the mass of the doorstop is:
m=δV
m=8.6 \(\frac{gr}{cm^3}\) 75 \(cm^3\)
m=645 gr
Finally, the volume is 75 \(cm^3\) and the mass 645 gr
