Question

The surface rea of a cuboid is 3328 m2

. Its dimensions are in the ratio 4: 3: 2. Find the sides in

(m) of the cuboid.
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Answer 1

Answer:

$\mathtt\red{LET:-}$

$\mathtt{LENGTH = 4x}$

$\mathtt{BREADTH=3x}$

$\mathtt{HEIGHT=2x}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \:$

$\mathtt\red{FORMULA:-}$

$\implies\tt{SURFACE \: AREA \: OF \: CUBOID \: = 2lb + 2bh +2hl}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \:$

$\mathtt\red{SOLUTION:-}$

$\implies\tt{SURFACE \: AREA \: OF \: CUBOID \: = 2lb + 2bh +2hl}$

$\implies\tt{3328 {m}^{2} = 2( 4x \times 3x + 3x \times 2x + 2x \times 4x)}$

$\implies\tt{ \frac{3328 {m}^{2} }{2} = {12x}^{2} + {6x}^{2} + {8x}^{2} }$

$\implies \tt{ 1664 {m}^{2} = {26x}^{2} }$

$\implies \tt{ \frac{1664}{26} = {x}^{2} }$

$\implies \tt{ 64 = {x}^{2} }$

$\implies \tt{ \sqrt{64} = x }$

$\implies \tt \red{ x = 8}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \:$

$\mathtt\red{LENGTH = 4x}$

$\mathtt\red{LENGTH = 4 \times 8m}$

$\mathtt\red{LENGTH = 32m}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \:$

$\mathtt\red{BREADTH=3x}$

$\mathtt\red{BREADTH=3 \times 8m}$

$\mathtt\red{BREADTH=24m}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \:$

$\mathtt\red{HEIGHT=2x}$

$\mathtt\red{HEIGHT=2 \times 8m}$

$\mathtt\red{HEIGHT=16m}$

Answer 2

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answer is 16 cm