Question

the length ,breadth and height of a cuboid are in the ratio of 4:2:1and total surface area is 1372m sq .find the dimensions of the cuboid

Answer 1

let the rato are 4:2:1
4+2+1=7

Answer 2

$\huge\boxed{\texttt{\fcolorbox{blue}{aqua}{Hey Mate!!!}}}$

$<b><i>$Let length be 4x m

breadth be 2x m

and height be x m.

T.S.A of the cuboid = 1372 m²

=> 2(lb + bh + hl) = 1372

=> 2(4x × 2x + 2x × x + x × 4x) = 1372

=> 2(8x² + 2x² + 4x²) = 1372

=> 2 × 14x² = 1372

=> 28x² = 1372

=> x² = 1372/28

=> x² = 49

=> x² = 7²

=> x = 7

•°• Dimensions of the cuboid

length = 4x = 4 × 7 = 28 m

breadth = 2x = 2 × 7 = 14 m

height = x = 7 m