There are two similar flying saucer toys.It is known that the volume and the total surface area of the larger flying saucer are 42 cm^3 and 79 cm^2 respectively.If the width of the smaller flying saucer is 40% shorter than that of the larger one,find
a) the volume of the smailler flying saucer,
b) the total surface area of the smaller flyng saucer.
thx~~~
maths(area and volume)
2010-03-15 4:31 am
回答 (1)
2010-03-15 9:18 pm
✔ 最佳答案
a)Let the width of the larger one = w , then the width of the smaller one = k(1 - 40%) = 0.6w
The volume of :
Big : Small = (w : 0.6w)^2
42 : Small = (1 : 0.6)^2
42 : Small = (5 : 3)^2
42 : Small = 25 : 9
Small = 42*9/25 = 15.12cm^3
b)The total surface area of :
Small : Big = (0.6w : w)^3
Small : 79 = (3 : 5)^3
Small = 79 * 27/125 = 17.064cm^2
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