jmjjosh02
jmjjosh02 jmjjosh02
  • 02-05-2018
  • Mathematics
contestada

Find the volume of the given prism round to the nearest 10th if necessary

Find the volume of the given prism round to the nearest 10th if necessary class=

Respuesta :

calculista
calculista calculista
  • 11-05-2018
we know that
volume of the prism=area of the base*height
height=24 yd

area of the base
is a equilateral triangle
so
the internal angles are 60 degrees
with the law of sine calculate the area
Area=(1/2)*a*b*sin C-----> (1/2)*13*13*sin 60-----> (1/2)*13*13*√3/2
Area=73.18 yd²

volume of the prism=73.18*24-----> 1756.30 yd³

the answer is
1756.3 yd³
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