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两道SAT数学题解答.

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  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

  (C)2

  (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€

  (C)100Ï€

  (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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