Question 27

The volume of the pyramid is 7,200 cubic inches.

To calculate the volume of the pyramid, the formula \( V = \frac{1}{3} \times \text{Base Area} \times \text{Height} \) applies. Given the dimensions used in the calculation, the resulting volume is 7,200 cubic inches.

A) 21,600

This option is incorrect as it represents a volume that is significantly larger than what is calculated using the pyramid's dimensions. The formula for the volume, when applied correctly, does not yield this figure.

B) 1,440

This option is also incorrect. A volume of 1,440 cubic inches is too small given the dimensions provided for the base area and height used in the volume calculation.

C) 7,200

This is the correct volume of the pyramid. The calculation using the specified base area and height accurately results in 7,200 cubic inches, confirming this option.

D) 5,760

This option is incorrect as it represents a volume that is not supported by the calculations derived from the pyramid's dimensions. The volume must be verified against the correct formula, which does not yield this result.

Conclusion

The correct answer of 7,200 cubic inches is derived from the appropriate application of the volume formula for pyramids. Options A, B, and D do not conform to the calculations based on the given dimensions, thus they are incorrect. This highlights the importance of accurately applying mathematical formulas to find volume.