Question

if the length of a cuboid is 60cm and width 40cm and its surface area is 14800cm² find its height

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Answer 1

Answer:

50 cm

Step-by-step explanation:

let x be the heigth we are looking for.

Each rectangle that covers the cuboid is the product of two dimensions $(60\cdot40;\ 60x;\ 40x)$

Since it's a cuboid, we assume opposite sides are equal.

So each rectangle is counted twice:

$Area=2(60\cdot40+60x+40x)=14800$

Now, we just isolate x:

$60\cdot40+60x+40x=7400\\2400+100x=7400\\100x=5000$

Answer:50 cm