6th grade math
posted by Kate on .
Find the volume of the right triangular prism. The bases are equilateral triangles with a length of 6 mm. The height of the prism is 8.4 mm. (Round to the nearest tenth.)

V = Volume
A = Area of trangle
V = A * h
A = s ^ 2 * sqrt ( 3 ) / 4
where
s = length of equilateral triangle sides
A = 6 ^ 2 * sqrt ( 3 ) / 4
A = 36 * sqrt ( 3 ) / 4
A = 4 * 9 * sqrt ( 3 ) / 4
A = 9 * sqrt ( 3 )
A = 9 * 1.73025
A = 15.58845 mm ^ 2
V = A * h
V = 15.58845 * 8 .4
V = 130.94298 mm ^ 3
V = 130.9 mm ^ 3 rounded to the nearest tenth