The base of a triangular prism is a right triangle with hypotenuse 10 m long and one leg 6 M. If the height of the prism is 12 M, what is the volume of the prism
Mathematics · High School · Tue Nov 03 2020
llm
Answered on
Triangular prism is right angle. So, by phythogoras theorem
a^2 + b^2 = c^2
a^2 +b^2 = c^2
C= 10
b = 5
a^2 + b^2 = c^2
a^2 + 6^2 = 10^2
a^2 + 36 = 100
a^2 = 100 - 36
a^2 = 64
a = 8
Volume of triangular prism = Area × height
a =8
b=6
h= 12
V = 1/2 × a × b × h
V = 1/2 × 8 × 6 ×12
V = 288 m^3
Thus, Volume of triangular prism is 288 m^3