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The surface area of a cubiod is 1372 cm square . If its dimension in the ratio 4:2:1, Find its length?

Posted by Chitralekha Khaund 3 years, 11 months ago

CBSE > Class 09 > Mathematics

2 answers

Chaitanya Saini 3 years, 11 months ago

Let length:- 4x Breadth:- 2x Height:- 1x TSA of cuboid:- 1372cm² TSA of cuboid:- 2(lb+bh+hl)= 1372cm² 2(4x × 2x + 2x ×1x + 1x × 4x)= 1372 2(8x²+2x²+4x²)=1372 2(14x²)=1372 14x²= 1372/2 14x²=686 x²= 686/14 = 49 x=√49 x=7 Value of length:- 4x= 4(7)=28cm Value of breadth:- 2x= 2(7)=14cm Value of height:- 1x=1(7)=7cm I hope it will help you ...

0Thank You

Yogita Ingle 3 years, 11 months ago

Let the length be 4x
Let the breadth be 2x
Let the height be x

Surface area=2(lb+bh+hl)
=2(8x²+2x²+4x²)
=28x²=1372
so x²=49
and x=7

So length=4x=28cm
breadth=2x=14cm
&. height=x=7cm

0Thank You

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