Three solid cubes of lead, each with edges 10 centimeters long, are melted toget

游客2024-01-12 63

问题 Three solid cubes of lead, each with edges 10 centimeters long, are melted together in a level, rectangular shaped pan. The base of the pan has inside dimensions of 20 centimeters by 30 centimeters, and the pan is 15 centimeters deep. If the volume of the solid lead is approximately the same as the volume of the melted lead, approximately how many centimeters deep is the melted lead in the pan?

选项 A、2.5
B、3
C、5
D、7.5
E、9

答案 C

解析 3个实心的立方体铅块，每个的边长都是10厘米，融化在一个水平的长方体熔炉中。熔炉内表面的底部长30厘米，宽20厘米，且熔炉的深度为15厘米。若实心铅块的体积在融化前后大体相同，问熔炉中融化铅的深度大约是多少厘米?
解：本题的正确答案是(C)。3个实心立方体铅块的总体积为：3×103=3000 cm3；则融化铅在熔炉中的深度为3000÷(20×30)=5 cm

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