# Cuboid edges

Calculate the volume and surface of a cuboid whose edge lengths are in the ratio 2: 3: 4 and the longest edge measures 10cm.

Correct result:

V =  375 cm3
S =  325 cm2

#### Solution:

$a:b:c=2:3:4 \ \\ a
$S=2 \cdot \ (a \cdot \ b+b \cdot \ c+a \cdot \ c)=2 \cdot \ (5 \cdot \ 7.5+7.5 \cdot \ 10+5 \cdot \ 10)=325 \ \text{cm}^2$

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