Question

What is the volume of the regular pyramid below?

Answer 1

The correct answer is option D. 128 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 = 8 units and h = 6 units

Volume = (a²h)/3

= (8² * 6)/3 = 8100/3 = 2700 units²

Therefore the correct answer is option D. 128 units²

Answer 2

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

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

Where:

`A_ {b}:` It is the area of the base

h: It's the height

We have, according to the figure shown:

`A_ {b} = 8 ^ 2 = 64 \ units ^ 2\\h = 6 \ units`

Then, replacing:

`V = \frac {64 * 6} {3}\\V = \frac {384} {3}\\V = 128 \ units ^ 3`

Answer:

Option D