The volume of the square pyramid is 8000 cubic feet.
We have a pyramid with the base edges = 40 ft and slant height 25 ft .
We have to find the volume of the pyramid.
What is the formula to find the volume of the pyramid with base length = L, base width = w and pyramid height = h?
The formula is -
V = [tex]\frac{Lwh}{3}[/tex]
In our question, it is given that L = w = 40 ft. Now, the main problem arises as we don't have the height of the pyramid, instead we have slant height of the pyramid S = 25 ft.
We can find the height of the pyramid using the Pythagoras theorem as -
[tex]S^{2} =(\frac{L}{2})^{2} +h^{2} \\\\h = \sqrt{(S)^{2} - (\frac{L}{2} ^{2}) } \\[/tex]
On substituting the values and solving, we get -
h = 15 ft.
Applying the formula for volume, we get -
V = [tex]\frac{40\times 40\times 15}{3}[/tex] = 40 x 40 x 5 = 200 x 40 = 8000
Hence, the volume of the square pyramid is 8000 cubic feet.
To solve more questions on finding the volume of pyramid, visit the link below - brainly.com/question/17615619
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