Question

Which expression represents the volume of the pyramid?

One-thirdxy cm3
One-thirdx2y cm3
One-halfxy2 cm3
One-halfx2y cm3

Answer 1

Answer: B. 1/3x∧2y cm∧3

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Answer 2

Option B

One-third
`x^(2)`y cm 3

Step-by-step 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
`(1)/(3) * x * x * y`
`cm^(3)`

This will be
`(1)/(3)x^(2)y`

Hence our correct answer is option B: One-third
`x^(2)`y cm3