Someone
what is the volume of the pyramid?

540 ft3

48 ft3

432 ft3

150 ft3

 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.