Question

A rectangular pyramid has a length of 7 cm and a width of 9 cm. Its volume is 231 cubic centimeters.
Use the formula for the volume of a pyramid to calculate the height of this pyramid. Show all your work. In three sentences

Answer 1

The volume \( V \) of a pyramid is given by the formula \( V = \frac{1}{3} \times \text{Base Area} \times \text{Height} \). For a rectangular pyramid, the base area is calculated as \( \text{Base Area} = \text{Length} \times \text{Width} = 7 \, \text{cm} \times 9 \, \text{cm} = 63 \, \text{cm}^2 \). Setting the volume equal to 231 cm³, we have \( 231 = \frac{1}{3} \times 63 \times h \), which simplifies to \( h = \frac{231 \times 3}{63} = 11 \, \text{cm} \).