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Nat2105 [25]
3 years ago
12

Sophie has a hard rubber ball whose circumference measures 13 inches. she wants to store it in a box. what is the number of cubi

c inches in the volume of the smallest cube- shaped box with integer dimensions that she can use?
Mathematics
1 answer:
Alexus [3.1K]3 years ago
5 0
Let r =  radius of the hard rubber ball.
The circumference of the ball is 13 inches, therefore
2πr = 13
r = 13/(2π) = 2.069 inches
The diameter of the ball is 2*2.069 = 4.138 inches.

The ball is hard and cannot be compressed. Therefore the length of a side of the smallest cube-shaped box with integer dimensions is 5 inches.
The volume of the box is 5³ = 125 in³.

Answer: 125 in³
 
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