Question

ASAP! ITS URGENT

The volume of a regular square pyramid is 120 m^3, and its altitude is 10 m. What is the length of its base edge?

Answer 1

6m

Explanation:

so, the formula for the volume of a pyramid is V=1/3(B)(h)

where B is the area of the base and h is the height of the pyramid and since you have to find the individual lengths of each edge of the base, first we'll have to solve for the area of the base which means we'll have to solve for B and then take its square root since the formula for the area of a square is l^2

120=1/3(B)(10)

120=B/3(10)

120/10=B/3

12=B/3

(12)(3)=B

36=B

since B is the entire area of the square base we'll have to take its square root

`√(36)`

which equals 6cm hence the length of each edge of the base is 6cm as all the sides in a square are the same which in this case is 6cm