A toy baseball bat comes with 3 plastic balls. The balls are in a box that is a rectangular solid. The box is just big enough to
hold the 3 balls. The radius of the balls is 1.4 in. each What is the volume of the air in the box surrounding the balls?
1 answer:
Answer:
31.4 in³
Step-by-step explanation:
The box is just big enough to hold the 3 balls, so it must have a length 6 times the radius of each ball, a width 2 times the radius, and a height 2 times the radius.
The volume of the box is:
V = (6r)(2r)(2r)
V = 24r³
The volume of the 3 balls is:
V = 3 (4/3 π r³)
V = 4πr³
So the volume of the air is:
V = 24r³ − 4πr³
V = (24 − 4π) r³
Since r = 1.4 inches:
V = (24 − 4π) (1.4 in)³
V ≈ 31.4 in³
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Answer:
278.63 square inches
Step-by-step explanation:
Gina needs to cut two types of rectangles.
Dimensions of one rectangle is given as,
Width = 12 inches
Length = =
inches
So, the area of this rectangular paper will be
Area = width × length = = 171 inches²
Dimensions of the other rectangular paper has been given as
Width = =
inches
Length = =
inches
So, the area of this rectangle will be
Area = width × length = = 107.63 inches²
Thus the total area she need to cut = 171 + 107.63 = 278.63 square inches.