Asked by Ariel
Find the volume of a regular hexagonal prism if the measure of one side of the base is 14 and the height is 10.
a.)140√2 cm^3
b.)2940√3 cm^3
c.)140 cm^3
I was thinkin the answer is 140√2 cm^3
a.)140√2 cm^3
b.)2940√3 cm^3
c.)140 cm^3
I was thinkin the answer is 140√2 cm^3
Answers
Answered by
Henry
V=NAh=6(14x12.1/2)10=5082cubic cm
V=volume; N=number of sides=number of triangles that forms base of hexagon;
A=area of each triangle(quanity in parenthesis); h=height of hexagon.
The 6 triangles formed by drawing a line from the center to each vertex are equalateral. Therefore, the height of each triangle is 14sin60=12.1. I hope this explanation is sufficient.
V=volume; N=number of sides=number of triangles that forms base of hexagon;
A=area of each triangle(quanity in parenthesis); h=height of hexagon.
The 6 triangles formed by drawing a line from the center to each vertex are equalateral. Therefore, the height of each triangle is 14sin60=12.1. I hope this explanation is sufficient.
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.