Question

7. The largest of the Great Pyramids in Egypt was built with a square base,

Answer 1

Answer:

Difference between the original and current volumes = 4013140.30 cubic feet

Step-by-step explanation:

Largest pyramid has the square base with one edge = 754 feet

Area of the square base = (Side)²

                            = (754)²

                            = 568516 square feet

Volume of the pyramid = $\frac{1}{3}(\text{Area of the base})(\text{Height})$

                                       = $\frac{1}{3}\times 568516\times 481$

                                       = 91152065.3 cubic feet

After erosion,

Area of the base = (745)² = 555025 square feet

Volume of the pyramid = $\frac{1}{3}(555025)(471)$

                                       = 87138925 cubic feet

Difference between the original and current volumes of the pyramid

= 91152065.30 - 87138925

= 4013140.30 cubic feet