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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-example-1

1 Answer

5 votes
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
User Willw
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