数学几何 Section 6
进入答题

A water trough is in the shape of a rectangular solid. The length of the trough is 4 times its width, and its depth is 5 feet. A new trough is constructed with length 4 feet greater than the length of the original trough, a width 1 foot less than the width of the original trough and a depth equal to that of the original trough. If the capacity of the new trough is 300 cubic feet, what is the capacity, in cubic feet, of the original trough?

A280
B300
C320
D340
E360
Select one answer choice.
正确答案:C
详解

答案为C。设原水槽宽a,长为4a

新水槽宽为a-1, 长为4a+4

新水槽体积=5(a-1)(4a+4)= 300, a=4

则原水槽体积= 4*16*5 = 320

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