Dimensions 7932

The volume of the block is 5760 cm3. For the dimensions of a given block, a: b = 4:3, b: c = 2:5
Calculate its surface.

Correct answer:

S =  2064 cm2

Step-by-step explanation:

V=5760 cm3  V = abc a = 4/3 b c = 5/2 b  V = 4/3b b 5/2 b k=1/(4/3 5/2)=103=0.3 b=3k V=30.3 5760=12 cm a=4/3 b=4/3 12=16 cm c=5/2 b=5/2 12=30 cm  S=2 (a b+b c+a c)=2 (16 12+12 30+16 30)=2064 cm2

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