Question

The dimensions of a cuboid are in the ratio 1:2:3 and it T.S.A is 88m square.Find the dimensions.

Answer 1

Hope this helps you....

Answer 2

$\blue{\bold{\underline{\underline{Answer:}}}}$

$\green{\therefore{\text{Dimension\:of\:cuboid=2\:cm,4\:cm,6\:cm}}}$

$\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

$\green{ \underline \bold{given : }} \\ : \implies \text{Length(l) = x \: cm} \\ \\ : \implies \text{Breadth(b) = 2x\: cm} \\ \\ : \implies \text{Height(h) = 3x \: cm} \\ \\ :\implies \text{T.S.A\:of\:cuboid=88 m}^{2} \\ \\ \red{ \underline \bold{to \: find : }} \\ : \implies \text{Dimensions \: of \: cuboid = ? }$

• According to given question :

$\bold{As \: we \: know \: that} \\ : \implies \text{T.S.A \: of \: cuboid} = 2(lb + bh + hl) \\ \\ : \implies 88 = 2(x \times 2x + 2x \times 3x + 3x\times x) \\ \\ : \implies 88 = 2(2x^{2} + 6x^{2} + 3x^{2}) \\ \\ : \implies 88 = 22x^{2} \\\\ :\implies x=\sqrt{4} \\ \\ \green{: \implies \text{x= 2 \:{cm}}^{2} }$

$\bold{Dimension} \\ \green{ : \implies \text{Length = 2\: cm}} \\ \\ \green{ : \implies \text{Breadth = 4 \: cm}} \\ \\ \green{ : \implies \text{Height = 6 \: cm}}$