Answer: here is an example in the screenshot
it is A,B,C, or D
Step-by-step explanation:
For a given perimeter, the area will be maximized when all the sides are the same length, which makes it actually a square. A square is still a rectangle, though! So, if you know the perimeter, divide it by four to determine the length of each side. Then multiply the length times the width to get the area.
BTW U CAN USE A CALCULATOR
Answer:
The volume of the space between the balls and the rectangular box is
Step-by-step explanation:
The attachment below shows the description of the rectangular bow and the three spherical balls.
From the description,
This means the balls are tightly fitted into the rectangular box.
Each of the balls has a radius r
Hence, The volume of one of the balls is given by the volume of a sphere
The volume occupied by one of the balls is
∴ The volume occupied by the three spherical balls will be
3 ×
=
The volume occupied by the three spherical balls
For the rectangular box,
The volume of a rectangular box =
Where is the length
is the width and
is the height
Since the balls are tightly packed,
The width of the rectangular box will be the diameter of the balls
diameter of the balls = 2r
∴ = 2r
The height of the rectangular box will also be the diameter of the balls
∴ = 2r
The length of the rectangular box will be 3 times the diameter of the balls
∴ = 3 × 2r = 6r
Hence,
The volume of a rectangular box = 6r × 2r × 2r
= 24r³
The volume of the space between the balls and the rectangular box is given by
Volume of the space between the balls and the rectangular box =
volume of the rectangular box - volume occupied by the three spherical balls
Volume of the space between the balls and the rectangular box= 24r³ - 4πr³
= 24r³ - 4πr³
= 4r³(6 - π)
