Question

the surface area of cuboid is 1372 cm square. if it's dimensions are in ratio 4:2:1 find it's length.​

Answer 1

$\begin{gathered} {\huge\underline{\underline{\text{Question:}}}} \\ \end{gathered}$

• The Surface Area of a Cuboid is 1372 CM Square .If it's Dimensions are in ratio 4:2:1 Find it's Length....

$\begin{gathered} {\huge\underline{\underline{\text{Solution:}}}} \\ \end{gathered}$

Let's the Dimensions of Cuboid are 4x , 2x , x

• Surface Area of Cuboid = 2(lb+bh+hl)

(Where l,b,h are Length, Breadth, Height )

According To The Question :-

$⟶ \\ ⟶2(4x + 2x + 2x \times x + x \times 4x) = 1372\\ ⟶2(8x {}^{2} + 2 {x}^{2} + 4 {x}^{2} ) = 1372 \\ ⟶28x {}^{2} = 1372 \\ ⟶x {}^{2} = \cancel\dfrac{1372}{28} = 49 \\ ⟶x {}^{2} = \cancel\dfrac{49}{7} = 7 \\ ⟶x = 7cm$

* So The Length of CUBOID is 4x=4×7=28Cm

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Answer 2

Answer:

Length of the cuboid is 28 cm.

Step-by-step explanation:

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