两道SAT数学题解答.

2017-08-06 作者： 281阅读

　　下面是两道SAT数学题，包括了问题和后面的答案解析，非常详细。SAT数学题难度不大，但是需要大家不断的练习来了解SAT数学考试的出题方式和解答的策略。下面我们就一起来看看这两道SAT数学题有什么特点吧。

　　1.If the length, width, and height of a rectangular solid are all doubled, by what factor is the length of its diagonal multiplied?

　　(A)√2

　　(B)√3

　　(D)4

　　(D)8

　　2. A cylinder’s radius is equal to its height. If its surface area is 100Ï€, what is its volume?

　　(A)25Ï€

　　(B)50Ï€

　　(D)125Ï€

　　(D)625Ï€

　　Explanations

　　1. C

　　The formula for the length of the diagonal of a rectangular solidis where l, w, and h are the dimensions of the solid. Substitute 2l, 2w, and 2h for these values:

　　The length of the diagonal doubles, just like the rectangular solid’s other dimensions.

　　2. D

　　The volume of a cylinder is given by the formula。In the case of this cylinder, the radius is equal to height (r = h), so

　　Since we have a value only for the surface area of this cylinder, to find r, we must use the surface area formula, which is Because r = h in this cylinder, the surface area of this cylinder is

　　With the information given by the question, we can find the radius by setting either 4πr2 = 100π or r2 = 100π⁄4π = 25. Either way, the radius of the cylinder works out to 5, which means that the volume of the cylinder is π53 = 125π.

　　以上就是关于这两道SAT数学题的全部内容，在后面附有的答案解析中，非常清晰的显示了做题的方法和步骤。大家在备考SAT数学题的时候，一定要根据SAT数学本身的特点进行，这样才能更加的事半功倍。

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