Q:

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 units314.8 units322.2 units344.4 units3

Accepted Solution

A:
Answer: Second option.Step-by-step explanation: You need to use the following formula: [tex]V=\frac{1}{3}Bh[/tex] Where "B" is the area of its base and "h" is the height. According to the data given in the exercise, you know that: [tex]B=7.4 units^2\\\\h=6\ units[/tex] 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: [tex]V=\frac{1}{3}(7.4 units^2)(6\ units)\\\\V=14.8\ units^3[/tex]