Question

A solid right pyramid has a regular hexagonal base with an area of 7.4 units2. The pyramid has a height of 6 units.

A solid right pyramid has a regular hexagonal base with an area of 7.4 units squared. The pyramid has a height of 6 units.

What is the volume of the pyramid?

11.1 units3
14.8 units3
22.2 units3
44.4 units3

Answer 1

B. 14.8 units3

Explanation:

You need to use the following formula:

Where "B" is the area of its base and "h" is the height.

According to the data given in the exercise, you know that:

Therefore, knowing this values, you can substitute them into the formula shown before and then evaluate, in order to calculate the volume of thi right pyramid whose base is a regular hexagon.

Answer 2

Answer: Second option.

Explanation:

You need to use the following formula:

`V=(1)/(3)Bh`

Where "B" is the area of its base and "h" is the height.

According to the data given in the exercise, you know that:

`B=7.4 units^2\\\\h=6\ units`

Therefore, knowing this values, you can substitute them into the formula shown before and then evaluate, in order to calculate the volume of thi right pyramid whose base is a regular hexagon.

Then, you get:

`V=(1)/(3)(7.4 units^2)(6\ units)\\\\V=14.8\ units^3`