Question

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

Answer 1

the picture in the attached figure

we 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

Answer 2

1) B 1,255.7 yard^3
2) B $ 70.58
3) A 7 in
4) C 54 (pi)in^3
5) D 944 mm^3

~GENERAL OUT~