Find the volume of the given prism. round to the nearest tenth if necessary. a. 2,511.5 yd to the power of 3b) 1,255.7 yd to the power of 3c) 1,025.3 yd to the power of 3d) 1,450.0 yd to the power of 3
Question
Answer:
the picture in the attached figurewe know that
volume of the prism=area of the base*height
step 1
find the area of the base
the base is an equilateral triangle
calculate the area with the law of sines
Area=(1/2)*a²*sin C
where
a=10 yd
C=60° (three internal angles are equals)
Area=(1/2)*10²*sin 60°-----> 25√3 yd²
step 2
find the volume
volume of the prism=(25√3)*29-----> 1255.74 yd³ ------> 1255.7 yd³
the answer is the option
b) 1,255.7 yd to the power of 3
solved
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10 months ago
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