Answer:
Option B
One-third [tex]x^{2}[/tex]y cm 3
Explanation:
We will be assuming we are dealing with a square based pyramid, which has the shape of its base as a square. The volume of a pyramid is got by multiplying its base area, height and a factor - 1/3.
For our square based pyramid, we will assume it has dimensions; length breadth and height to be (x , x, and y) respectively.
(the length and breadth are the same because it has a square base)
hence the volume will be [tex]\frac{1}{3} \times x \times x \times y[/tex] [tex]cm^{3}[/tex]
This will be [tex]\frac{1}{3}x^{2}y[/tex]
Hence our correct answer is option B: One-third [tex]x^{2}[/tex]y cm3
