Abel is carving a rectangular pyramid clock out of green quartz. The length of the rectangular base is 14 cm and the height of the clock is 9 cm. If the clock needs to have a volume of 168 cm³, what is the width of the clock’s base?

Answer 1

To find the width of the clock's base, we can use the formula for the volume of a rectangular pyramid:

Volume = (1/3) * length * width * height

Substitute the given values into the formula:

168 = (1/3) * 14 * width * 9

Simplify the equation:

168 = 42 * width

Divide both sides by 42:

width = 168 / 42
width = 4

Therefore, the width of the clock's base is 4 cm.