Hexagonal Prism Volume and Area

The video tutorial explains how to calculate the volume of a hexagonal prism. It begins by introducing the concept of volume as the product of the base area and height. The instructor then demonstrates how to divide the base into triangles to find its area, using the formula for the area of a triangle. After calculating the area of one triangle, the instructor multiplies it by the number of triangles to find the total base area. Finally, the base area is multiplied by the height to determine the volume of the prism.

What is the formula for calculating the volume of a prism?

• Area of the base times the height

• Perimeter of the base divided by the height

• Area of the base divided by the height

• Perimeter of the base times the height

How many triangles are used to calculate the area of the hexagonal base?

• 4

• 7

• 5

• 6

What is the formula for the area of a triangle?

• Base times height

• Base plus height

• Base times height divided by 2

• Base plus height divided by 2

If one triangle has a base of 15 and a height of 12.99, what is its area?

• 97.5 square yards

• 97.425 square yards

• 97.25 square yards

• 97.75 square yards

What is the total area of the hexagonal base if each triangle has an area of 97.25 square yards?

• 588.5 square yards

• 584.55 square yards

• 582.5 square yards

• 586.5 square yards

What is the final volume of the hexagonal prism in cubic yards?

• 12,860.1

• 12,863.1

• 12,867.1

• 12,865.1