A designer is working on a wooden puzzle that is in the shape of an equilateral triangle. He only has a total of 26 inches of wo
od to use, but he wants each side to be at least five inches. Which of the following systems correctly describe the possible side lengths (s) of the puzzle?
1 answer:
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Answer:
Therefore the volume of the box is 13824 in³
Step-by-step explanation:
Given:
A spherical ball with is packaged in a box that is in the shape of a cube.
Volume of ball = 2304π in³.
Let 'r' be the radius of sphere
To Find:
Volume of Cube = ?
Solution:
Volume of sphere is given by
Substituting the values we get
Now we know that diameter is given by
it is given that,
The edge length of the box is equal to the diameter of the ball.
Therefore the length of cube = 24 in
Now the volume of the cube is given by
substituting the values we get
Therefore the volume of the box is 13824 in³