# Surface and volume

Find the surface and volume of a cuboid whose dimensions are 1 m, 50 cm, and 6 dm.

Correct result:

V =  0.3 m3
S =  2.8 m2

#### Solution:

$a=1 \ \text{m} \ \\ b=50 \ cm \rightarrow m=50 / 100 \ m=0.5 \ m \ \\ c=6 \ dm \rightarrow m=6 / 10 \ m=0.6 \ m \ \\ \ \\ V=a \cdot \ b \cdot \ c=1 \cdot \ 0.5 \cdot \ 0.6=\dfrac{ 3 }{ 10 }=0.3 \ \text{m}^3$
$S=2 \cdot \ (a \cdot \ b+b \cdot \ c+c \cdot \ a)=2 \cdot \ (1 \cdot \ 0.5+0.5 \cdot \ 0.6+0.6 \cdot \ 1)=\dfrac{ 14 }{ 5 }=2.8 \ \text{m}^2$

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