SOLUTION: The cuboid has a width of 5cm and a length of 10cm and the surface area of 280cm² what is the height of the cuboid?

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Question 857827: The cuboid has a width of 5cm and a length of 10cm and the surface area of 280cm² what is the height of the cuboid?

Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
h= height of the cuboid, in cm.
The area of the base and the area of the top are each
%285cm%29%2810cm%29=50cm%5E2
The perimeter of the base is
5cm%2B10cm%2B5cm%2B10cm=30cm
and that times the height h would be the lateral area
(the area of the 4 vertical faces), which (in square centimeters) would be
30h
The total surface area of the cuboid (in square centimeters) is
50%2B50%2B30h=280
100%2B30h=280
30h=280-100
30h=180
h=180%2F30
highlight%28h=6%29
The height of the cuboid is highlight%286cm%29 .