Questions: Find the volume of the given pyramid. The base is a rectangle. The volume is (Type an integer or a decimal.)

Solution Steps

The volume \( V \) of a pyramid is given by the formula: \[ V = \frac{1}{3} \times \text{Base Area} \times \text{Height} \]

The base of the pyramid is a rectangle with dimensions 9 inches by 7 inches. The area \( A \) of a rectangle is given by: \[ A = \text{length} \times \text{width} \] \[ A = 9 \, \text{in} \times 7 \, \text{in} = 63 \, \text{in}^2 \]

The height \( h \) of the pyramid is given as 5 inches. Substitute the base area and height into the volume formula: \[ V = \frac{1}{3} \times 63 \, \text{in}^2 \times 5 \, \text{in} \] \[ V = \frac{1}{3} \times 315 \, \text{in}^3 \] \[ V = 105 \, \text{in}^3 \]

Final Answer