What is the volume of the smallest box that will hold a ball whose radius is 10 cm?
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What is the volume of the smallest box that will hold a ball whose radius is 10 cm?
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Verified answer
In the given problem, apply your knowledge in algebra and basic mathematics specially in solving volume of three dimensional figure.
Given:
ball whose radius is 10 cm
Problem:
What is the volume of the smallest box?
Solution:
Use the formula for finding the volume of a rectangular prism lwh or cube s³.
Since the ball is inside the box, thus the diameter of the ball is already the side of the box.
d = 2r
d = 2(6)
d = 12 cm
The smallest box is having a dimension of 12 cm × 12 cm × 12 cm.
Volume = s³
= 12²
= 1728 cm³
Answer: 1728 cm³
Learn more about volume of rectangular prism here at
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