The solid brick shown is made of small square shaped bricks of side 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

Solution

Correct Answer: Option E

 

here, small cube shped brick=12 we know, surface of cube=6 x (arm)2 total surface of 12 bric=12x6x(1)2=72 now, length= 3 cm width= 2 cm height=2 cm rectangle er surface=2(ab+bc+ca)=2[(3x2)+(2x2)+(2x3)=32 small-big=72-32=40  

 

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