Answer:
The height of the pyramid is 7 feet
Step-by-step explanation:
Let h represent the height of the pyramid
Volume of a pyramid is given by
[tex]V = \frac{1}{3} \times area \: of \: base \: \times height[/tex]
Volume of pyramid = 84ft³
To find the height of the pyramid we must first find the area of the base
Since it's a square pyramid it's base is a square
Area of a square = l²
where l is the length of one side
l = 6feet
Area = 6² = 36ft²
So we have
[tex]84 = \frac{1}{3} \times 36 \times h[/tex]
84 = 12h
Divide both sides by 12
h = 7 feet
The height of the pyramid is 7 feet
Hope this helps you
