Question

A piece of copper tubing is in the shape of a hexagonal prism. The area of the base of the prism is 3 square centimeters. The volume of the prism is 51 cubic centimeters. What is the height of the tubing? ​

Answer 1

Answer: 17 cm

Explanation:

For a regular figure where the area of the base is B, and the height is H, the volume is calculated as:

V = B*H

Here we know that the base of the prism is B = 3 cm^2, and the volume of the prism is 51 cm^3

Then:

B = 3cm^2

V = 51cm^3

If we replace those in the equation above, we get:

51 cm^3 = (3cm^2)*H

Solving this for H gives:

(51 cm^3)/(3 cm^2) = H = 17 cm

The height of the tubing is 17 cm