Question

the pyramid of khufu is a square pyramid 147m tall. the perimeter of the base of the pyramid is 920m. how much buried treasure could the pyramid hold if it were perfectly hollow?
33,810 cubic meters
45,080 cubic meters
135,240 cubic meters
2,582,100 cubic meters

Explanation:

Step1: Find base side length

The base is a square, so side length $s = \frac{\text{Perimeter}}{4} = \frac{920}{4} = 230$ m

Step2: Calculate base area

Area of square base $B = s^2 = 230^2 = 52900$ m²

Step3: Compute pyramid volume

Use volume formula $V = \frac{1}{3}Bh$, where $h=147$ m.
$V = \frac{1}{3} \times 52900 \times 147$
$V = 52900 \times 49 = 2592100$ m³

Answer:

2,592,100 cubic meters