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The formula for the volume of a pyramid is 
(A*h)/(3) where 
A is the area of the pyramid's base and 
h is its height.
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?
Choose 1 answer:
(A) 
((53,000)/(100^(2))*150)/(3)
(B) 
(53,000*150*100)/(3)
(C) 
(53,000*150*100^(2))/(3)
(D) 
(53,000*150)/(3)

The formula for the volume of a pyramid is Ah3 \frac{A \cdot h}{3} where A A is the area of the pyramid's base and h h is its height.\newlineThe base of the Great Pyramid of Giza is about 5353,000000 square meters, and its height is about 150150 meters.\newlineWhat calculation will give us the estimated volume of the Great Pyramid of Giza in cubic meters?\newlineChoose 11 answer:\newline(A) 53,00010021503 \frac{\frac{53,000}{100^{2}} \cdot 150}{3} \newline(B) 53,0001501003 \frac{53,000 \cdot 150 \cdot 100}{3} \newline(C) 53,00015010023 \frac{53,000 \cdot 150 \cdot 100^{2}}{3} \newline(D) 53,0001503 \frac{53,000 \cdot 150}{3}

Full solution

Q. The formula for the volume of a pyramid is Ah3 \frac{A \cdot h}{3} where A A is the area of the pyramid's base and h h is its height.\newlineThe base of the Great Pyramid of Giza is about 5353,000000 square meters, and its height is about 150150 meters.\newlineWhat calculation will give us the estimated volume of the Great Pyramid of Giza in cubic meters?\newlineChoose 11 answer:\newline(A) 53,00010021503 \frac{\frac{53,000}{100^{2}} \cdot 150}{3} \newline(B) 53,0001501003 \frac{53,000 \cdot 150 \cdot 100}{3} \newline(C) 53,00015010023 \frac{53,000 \cdot 150 \cdot 100^{2}}{3} \newline(D) 53,0001503 \frac{53,000 \cdot 150}{3}
  1. Identify Formula: Identify the correct formula to use for calculating the volume of a pyramid.\newlineThe formula for the volume of a pyramid is (Ah)/3(A\cdot h)/3, where AA is the area of the base and hh is the height.
  2. Plug Values: Plug the given values for the base area AA and height hh into the formula.A=53,000A = 53,000 square meters (base area)h=150h = 150 meters (height)Volume=A×h3=53,000×1503\text{Volume} = \frac{A \times h}{3} = \frac{53,000 \times 150}{3}
  3. Perform Operations: Perform the multiplication before the division as per the order of operations.\newlineMultiplication: 53,000×150=7,950,00053,000 \times 150 = 7,950,000
  4. Divide Result: Divide the result of the multiplication by 33 to find the volume.\newlineDivision: 7,950,000/3=2,650,0007,950,000 / 3 = 2,650,000
  5. Check Answer Choices: Check the answer choices to see which one matches our calculation.\newlineThe correct answer choice is (D) (53,000×150)/3(53,000 \times 150) / 3, which matches our calculation.

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