What would be the mass of the trophy? What is the price of this trophy if silver costs $0.56/gram?

Question

The diagram below is a solid square-based pyramid trophy made of silver where the edge of

the square base is .04 meters and the height is .09 meters. Silver is has a density of 10.501

grams/cubic centimeters.

What would be the mass of the trophy?

What is the price of this trophy if silver costs $0.56/gram?

Answer 1

The volume of a pyramid is 1/3 * B * h where B is the area of the base and h is the height of the pyramid

First change meters into centimeters, so the edge of the square base is 4cm and the height is 9cm

B = 4cm * 4cm = 16cm²

h = 9cm

Therefore, the volume is 1/3 * 16cm² * 9cm = 48cm³

From here, we get the mass using the density.

Once you get the mass, you can get the cost since we know silver is $0.56/gram