Question

# The Great Pyramid outside Cairo , Egypt, has a square base 6 cm measuring 756 feet on a side and a height of 480 feet. a. What is the volume of the Great Pyramid, in cubic yards? b. The stones used to build the Great Pyramid were limestone blocks with an average volume of 1.5 cubic yards. How many of these blocks were needed to construct the Great Pyramid?

Solution

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a. Determine the volume of the pyramid using the given dimensions.

\begin {aligned} V & = \dfrac{1}{3} Bh \\ V & = \dfrac{1}{3} \left(756 \text { ft} \cdot 756\text{ ft}\right) \left(480\text{ ft}\right) \\ V & = \dfrac{1}{3} \left(274,337,280 \text{ ft}^{3} \right) \\ V & = 91,445,760 \text{ ft}^{3} \end {aligned}

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