Answer: The volume of the pyramid is (B) 48 ft³.
Step-by-step explanation: We are given to find the volume of the pyramid shown in the figure.
The VOLUME of a pyramid with base area 'b' square units and height 'h' units is given by
Here, the base is a square with side of length 6 ft, so the area of the base, 'b' is given by
Now, as shown in the modified attached figure, ABC is a right-angles triangle at ∠B, and AC is the slanting height of 5 ft.
AB is the height of the pyramid.
BC is equal to half of the side length of the square base, so we have
Now, using Pythagoras Theorem, we have
Hence, height of the pyramid, h = 4 ft.
Therefore, the volume of the Pyramid will be
Thus, the volume of the pyramid is 48 ft³.
Option (B) is correct.