Asked by kirk
A small shipping crate is a cube with a side length of 8 inches and a surface area of 384 square inches. A large shipping crate has a surface area of 864 square inches.
What is the side length of the large crate?
What is the side length of the large crate?
Answers
Answered by
Nick J.
area = 4 pi r^2
volume = 4/3 pi r^3
So, for any sphere, the area:volume ratio is 3/r
However, I suspect that you garbled the question. Since area varies as the square of the diameter, if the diameters are in the ratio 3/4,
area is in the ratio (3/4)^2
volume is in the ratio (3/4)^3
volume = 4/3 pi r^3
So, for any sphere, the area:volume ratio is 3/r
However, I suspect that you garbled the question. Since area varies as the square of the diameter, if the diameters are in the ratio 3/4,
area is in the ratio (3/4)^2
volume is in the ratio (3/4)^3
Answered by
kirk
no that's how the question is asked
Answered by
Steve
where did the cylinder come from?
Area grows as the square of the scale. So,
864/384 = s^2/8^2
s = 12
Area grows as the square of the scale. So,
864/384 = s^2/8^2
s = 12
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