Question

What is the volume of the regular pyramid below?

Answer 1

The correct answer is option D. 2700 units²

Explanation:

Formula:-

Volume of pyramid = (a²h)/3

Where a - side of base

h - height of pyramid

To find the volume of pyramid

Here base side = 10 units and h = 81 units

Volume = (a²h)/3

= (10² * 81)/3 = 8100/3 = 2700 units²

Therefore the correct answer is option D. 2700 units²

Answer 2

For this case we have by definition that the volume of the pyramid shown is given by:

`V = \frac {A_ {b} * h} {3}`

Where:

`A_ {b}:` Is the area of the base of a square

h: It's the height

According to the data of the figure shown we have:

`A_ {b} = 10 * 10 = 10 ^ 2 = 100 \ units ^ 2\\h = 81 \ units`

Substituting:

`V = \frac {100 * 81} {3}\\V = \frac {8100} {3}\\V = 2700 \ units ^ 3`

Answer:

Option D