Question

Find the volume of a prism whose base is an equilateral triangle with a side of 4 and whose length is 6.

Answer 1

so the volume of this prism is equal area of base time length

area of this equilateral triangle with a side of 4 so will be 4*h/2 = 2h

sin60 = h/4

sqrt3 /2 = h/4

4sqrt3 = 2h

h = 2sqrt3

area = 4*2sqrt3 /2 = 4sqrt3

area = 4sqrt3 unit squared

Volume = area time length

V = 4sqrt3 *6 = 24sqrt3 unit cubed

V = 24sqrt3 unit cubed