Question

Length breadth and height of a cuboid are in the ratio 6 :4 : 5 if total surface area of cuboid is 2368 CM square find its dimensions

Answer 1

$\large \underline \mathbb \red{QUESTION}$The length ;breadth and height of a cuboid are in the ratio 6:4:5.If total surface area of cuboid is 2368cm².Find its dimension.$\large\underline \mathbb \orange{ANSWER}$

Let length=6xLet breadth=4xLet height= 5x

▪︎According to QuestionWe know that T.S.A of cuboid is:-

=2(lb+bh+hl)

=2(6xX4x+4xX5x+5xX6x) cm²

=2(24x²+20x²+30x²) cm²

$\boxed{ = 148 {x}^{2} {cm}^{2}}$

☆____GIVEN T.S.A. OF CUBOID=2368 CM²___

148x² = 2368 cm²${x}^{2} = \frac{2368}{148} {cm}^{2}$

$\boxed{x = \sqrt{16} }$

$\huge \fcolorbox{red}{pink}{x = 4}$$\mathcal \red{length =6x =6 \times 4 = 24cm}$

$\mathsf \pink{breadth =4x =4 \times 4 = 16cm}$

$\mathtt \orange{height =5x = 5 \times 4 =20cm}$