作业帮SAT（英文）数学题求解.附解释
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SAT（英文）数学题求解.附解释
The solid brick shown is made of small bricks of side 1. When the large brick is disassembled into its component small bricks, the total surface area of all the small bricks is how much greater than the surface area of the large brick?
A. 32
B. 40
C. 60
D. 72
E. 80
大砖的三个边长分别为a = 3,b = 2,c = 2(共3*2*2 = 12块小砖),表面积为2(ab + ac + bc) =2(3*2+3*2+2*2) = 32
每块小砖的表面积为6 (6个为边长为1的正方形),共为6*12 = 72
差:72 - 32 = 40
B
每块小砖的表面积为6 (6个为边长为1的正方形),共为6*12 = 72
差:72 - 32 = 40
B