The surface area of a cuboid is $1372 c m^{2}$ . If its dimensions are in the ratio $4 : 2 : 1,$ then its breadth is

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Solution

The correct option is B
14

Surface Area $= 1372 c m^{2}$

$\Rightarrow 2 (l \times b + b \times h + l \times h) = 1372$

Since, it is given that

$l : b : h = 4 : 2 : 1$

Let $l = 4 k, b = 2 k, h = k$ [where, $k$ is any constant]

$∴ 2 (4 k \times 2 k + 2 k \times k + 4 k \times k) = 1372$

$28 k^{2} = 1372$

$k^{2} = 49 \Rightarrow k = 7$

$∴ b = 2 k = 2 \times 7 = 14 c m$

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The surface area of a cuboid is $1372 c m^{2}$ . If the ratio length : breadth : height is $4 : 2 : 1$ , then its length (in $c m$ ) is

The surface area of a cuboid is 1372 $c m^{2}$ . If its dimensions (l:b:h) are in the ratio 4 : 2 : 1, then its length(in cm) is:

4 : 2 : 1

1372 m^{2}

m^{2}

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