Answer:
The answer to your question is length of a side = 133 m
Step-by-step explanation:
Data
Total volume = 2,592,276 m³
height = 146.5 m
length = x
Process
1.- Calculate the area of the base
The Volume of a pyramid = Area of the base x height
-Solve for area of the base
Area of the base = Volume of a pyramid/height
-Substitution
Area of the base = 2,592,276 / 146.5
-Result
Area of the base = 17694.7167 m²
2.- Calculate the length of one side
Area of the base = side x side
Area of the base = side²
side² = 17694.7167 m²
side = √17694.7167 m²
side = 133 m
Answer:
l = 133.02m
l = 133m (Appropriately)
Step-by-step explanation:
The volume of a Square Base Pyramid is expressed as :
V = Bh
Where
B = Base Area (That Square)
h = Height of the Pyramid.
To solve for the Base Area, we use the area of a square, which is eqa to (l * l = l^2)
Having this Understanding, Let's solve on proper now.
From the Question:
V = 2,592,276 cubic meters
h = 146.5 meters.
Base Area isn't given.
Therefore:
V= Bh
B= V/h
B= 2,592,276 / 146.5
B= 17694.72 m^2
Since we've gotten the value for the Base Area, let's solve for the length of one side of the base.
Base Area (B) = l^2
B = l^2
Recall that B= 17694.72 m^2
Therefore:
l^2 = 17694.72 m^2
l = √ 17694.72 m^2
l = 133.02 m
l = 133 m (Approximately)
