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Answer:
<em>Answer: C.Fraction 11 and 1 over 4 cubic inches</em>
Step-by-step explanation:
The volume of a rectangular prism of length L, width W, and height H is given by:
V=LWH
The prism is packed with cubes of a side length of a=1/2 inch. The volume of each cube is:
The prism is packed with L=5, W=3, and H=6, thus the volume (in cubes) is:
V=5*3*6=90\ cubes
Since each cube has a volume of :
Expressing as a mixed fraction:
Answer: C.Fraction 11 and 1 over 4 cubic inches
#4) From the reference angle of 58° we can see that we have the side opposite to that angle as well as the hypotenuse. Recall that sin=opp/hyp so we are going to use sine to find that side
sin(58°) =
(multiply both sides by 19 to isolate x)
19 sin(58°) = x (plug into calculator)
16.1 = x
#5) From the reference angle of 56°, we see that we have the adjacent and the opposite sides. Remember that tan=opp/adj so we will use tangent to find x
tan(56°) =
(multiply both sides by 
)
(flip them so x is on the top)
[tex] \frac{12}{tan(56)} = x
8.1 = x
sin(58°) =
19 sin(58°) = x (plug into calculator)
16.1 = x
#5) From the reference angle of 56°, we see that we have the adjacent and the opposite sides. Remember that tan=opp/adj so we will use tangent to find x
tan(56°) =
[tex] \frac{12}{tan(56)} = x
8.1 = x