Question

The surface area of a cuboid is 4150cm^2. If its length and breadth are 35cm and 25cm respectively, Find its height.

Note : please give the answer with steps

Answer 1

given, length of cuboid =35cm
and breadth of cuboid =25cm
and surface area of cuboid =4150cm²

we know that surface area of cuboid
=2(lb+bh+hl)
so, 4150=2(35×25+25×h+h×35)
4150=2(875+25h+35h)
4150=2(875+60h)
4150=1750+120h
4150-1750=120h
2400=120h
h=2400/120
20
therefore height of cuboid =20cm

Answer 2

The height of the cuboid is 2 cm.

Given :

The surface area of a cuboid = 4150 $cm^2$

Length of cuboid = 35cm.

Breadth of cuboid = 25cm.

To find :

The height of the cuboid.

Solution:

Let h be the height of the cuboid.

Length of the cuboid (l)=35cm

The breadth of the cuboid (b)=25cm

The surface area of the cuboid =4150$cm^2$

Surface area of cuboid =2(lb+bh+hl)

Therefore,

$2(lb+bh+hl)=4150\\35*25+25h+35h= 4150/2\\60h=2075-875\\h= 1200/60\\h=2cm$

Hence, the height of the cuboid is 2 cm.

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