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MATH SOLVE
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The pyramid shown below has a square base, a height of 7, and a volume of 84. what is the length of...
4 months ago
Q:
The pyramid shown below has a square base, a height of 7, and a volume of 84. what is the length of the side of the base?
Accepted Solution
A:
Volume of a pyramid is (length * width * height) / 3
So we plug in the given information and solve. Let x = length and width since it's a square their measurements are the same.
84 = (x * x * 7) or 84 = 7x²
Divide both sides by 7 to isolate the squared variable.
x² = 12
Now square root both sides to isolate the variable
x = √12 which simplifies to x = 2√3
The measurements for the length and width of the base are 2√3 units or approximately 3.464 units.