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 base of the clock’s base?

Answer 1

To find the area of the base of the rectangular pyramid clock, we use the formula for the volume of a pyramid:

Volume = (1/3) * base area * height

168 = (1/3) * base area * 9
504 = base area * 9
base area = 504 / 9
base area = 56 cm²

Since the length of the rectangular base is 14 cm, and the base area is 56 cm², we can find the width of the base using the formula for the area of a rectangle:

Area = length * width
56 = 14 * width
width = 56 / 14
width = 4 cm

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