Ask Question
4 October, 00:49

A certain hexagonal prism has a volume of 160 cubic meters. Its base has a perimeter of 30 meters and an area of 64 square meters. What is the surface area, in square meters, of the hexagonal prism?

+2
Answers (2)
  1. 4 October, 03:17
    0
    Surface area = 125square ft
  2. 4 October, 04:27
    0
    Given:

    hexagonal prism:

    volume = 160 cubic meters

    base perimeter = 30 meters

    base area = 64 sq. meters

    hexagon has 6 sides.

    30 meters / 6 = 5 meters

    Base area of hexagonal prism = (3√3) / 2 * a²

    Volume of hexagonal prism = (3√3) / 2 * a² * h

    height of the prism = volume / base area = 160 cubic meters / 64 sq. meters = 2.5 meters

    Base area = 64 sq. meters * 2 faces = 128 sq. meters.

    sides = 5 meters * 2.5 meters = 12.5 meters * 6 sides = 75 sq. meters

    Surface area = 128 sq. meters + 75. sq. meters = 203 sq. meters
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “A certain hexagonal prism has a volume of 160 cubic meters. Its base has a perimeter of 30 meters and an area of 64 square meters. What is ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers