Question

A whole surface area of a cubiodical sheet is 8788 sq cm.If the length ,breadth and height are in the ratio if 4:3:2,then find the length

Answer 1

$\Huge{\red{\underline{\textsf{Solution}}}}$

Let length. breadth and height be 4x, 3x and 2x respectively.

Whole surface area = 2(lb+bh+lh)2(lb+bh+lh)

=> (lb+bh+lh)=87882=4394(lb+bh+lh)=87882=4394

(4×3+3×2+2×4)x2=4394(4×3+3×2+2×4)x2=4394

=> 26x2=439726x2=4397

=> x2=169=>x=13x2=169=>x=13

Therefore, Length = 4x=4×13=52cm