Which is the slant height of the pyramid if helen uses all the clay

First, find the height of the pyramid using the volume formula.
Then use the Pythagorean theorem to find the slant height.

V = (1/3)Ah

48 = (1/3)(6^2)h

144 = 36h

h = 4

Since the side of the base is 6 in., half the side is 3 in.
The height of the pyramid is 4 in.
Call the slant height S.

3^2 + 4^2 = S^2

9 + 16 = S^2

25 = S^2

S = 5

The slant height is 5 in.