Chapter 12, Problem 3STP

To determine

To calculate:To find the volume of a hexagonal pyramid where the base area is $42$$sq$$meter$ and height is $5.4$$meter$ .

Answer to Problem 3STP

The volume of the hexagonal pyramid is $75.6$$m^3$ .

The correct answer is $A.$$75.6$$m^3$ .

Explanation of Solution

Given information:

Given hexagonal pyramid where the base area is $42$$sq$$meter$ and height is $5.4$$meter$

Formula Used:

Volume of a hexagonal pyramid is given by : $V=A\times \frac{h}{3}$ ; where $A$ is the base Area and $h$ is the height.

Calculation:

Given Base area is $42$$sq$$meter$

Height $=$$5.4$$meter$ .

Substituting the above values in the formula for the Volume ofhexagonal pyramid, we have:

  $V=42\times \frac{5.4}{3}$

Solving the above equation, we have:

  $75.6$

Thus, the volume of the hexagonal pyramidis $75.6$$m^3$ .

Conclusion:

The volume of the hexagonal pyramid is $75.6$$m^3$ .

The correct answer is $A.$$75.6$$m^3$ .