To find the height of the rectangular pyramid, we can use the volume formula for a pyramid: \( V = \frac{1}{3} \times \text{Base Area} \times \text{Height} \). The base area of the pyramid can be calculated by multiplying its length and width: \( \text{Base Area} = 7 , \text{cm} \times 9 , \text{cm} = 63 , \text{cm}^2 \). Plugging in the values we have: \( 231 , \text{cm}^3 = \frac{1}{3} \times 63 , \text{cm}^2 \times h \). Solving for height \( h \), we rearrange the equation to find \( h = \frac{231 \times 3}{63} = 11 , \text{cm} \).
Explain the following text primarily based on the surrounding page content: 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 four sentences
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