Question

The length breath and height
of cuboid are in the ratio 5:4:2
if the T.S.A is 1216cm².
Find volume of cuboid​

Answer 1

Step-by-step explanation:

hey mate here is your answer

plz.. mark me as brainliest

Answer 2

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

$\green{\therefore{\text{Dimension\:of\:cuboid=20\:cm,16\:cm,8\:cm}}}$

$\green{\therefore{\text{Volume\:of\:cuboid=2560\:cm}^{3}}}$

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

$\green{ \underline \bold{given : }} \\ : \implies \text{Length(l) = 5x \: cm} \\ \\ : \implies \text{Breadth(b) = 4x\: cm} \\ \\ : \implies \text{Height(h) = 2x \: cm} \\ \\ :\implies \text{T.S.A\:of\:cuboid=1216 cm}^{2} \\ \\ \red{ \underline \bold{to \: find : }} \\ : \implies \text{Dimensions \: of \: cuboid = ? }\\\\ :\implies \text{Volume\:of\:cuboid=?}$

• According to given question :

$\bold{As \: we \: know \: that} \\ : \implies \text{T.S.A \: of \: cuboid} = 2(lb + bh + hl) \\ \\ : \implies 1216 = 2(5x \times 4x + 4x \times2x + 2x\times 5x) \\ \\ : \implies 1216= 2(20x^{2} + 8x^{2} + 10x^{2}) \\ \\ : \implies 1216 = 76x^{2} \\\\ :\implies x=\sqrt{16} \\ \\ \green{: \implies \text{x= 4 \:{cm}}^{2} }$

$\bold{Dimension} \\ \green{ : \implies \text{Length = 20\: cm}} \\ \\ \green{ : \implies \text{Breadth = 16 \: cm}} \\ \\ \green{ : \implies \text{Height = 8 \: cm}} \\ \\ \bold{As \: we \: know \: that} \\ : \implies \text{Volume \: of \: cuboid =} l\times b\times h \\ \\ \implies \text{Volume \: of \: cuboid =}20\times 16\times8\\ \\ \green{: \implies \text{Volume\: of \: cuboid =}2560{cm}^{3} }$