Question

The base of the Great Pyramid of Giza is about 53,000 square meters, and its height is about 150 meters. What calculation will give us the estimated volume of the Great Pyramid of Giza in cubic meters?

a) Multiplying the base area by the height
b) Dividing the base area by the height
c) Adding the base area to the height
d) Subtracting the base area from the height

Answer 1

To calculate the estimated volume of the Great Pyramid of Giza, the base area should be multiplied by the height and then divided by three, conforming to the formula for the volume of a pyramid.

Step-by-step explanation:

To estimate the volume of the Great Pyramid of Giza, we must apply the formula for the volume of a pyramid, which is V = \(\frac{1}{3}\) \(base \; area\) \(\times\) \(height\). Using the given measurements, the calculation would look like this: V = \(\frac{1}{3}\) \(53000 \; m^2\) \(\times\) \(150 \; m\), which equals approximately 2,650,000 cubic meters. However, it's important to note that this assumes a perfect geometric pyramid shape, while the actual structure could have variances that affect the precise volume. Nonetheless, the main answer for estimating the volume would involve multiplying the base area by the height and then dividing by three, corresponding to option (a).