Question

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

Answer 1

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

Answer: The slant height is 5 in.