Question

the length, breadth and height of a cuboid are in the ratio of 5:3:2. the volume of the cuboid is 15360 cm cube. find the length, breadth and height of the cuboid​​

Answer 1

Step-by-step explanation:

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Answer 2

❒ Given :-

• Ratios = 5:3:2
• Volume = 15360 cm³

❒ To Find :-

• Find the dimensions (i.e, Length ,Breadth and Height)

❒ We know that :-

${\large{\red{\bigstar \: \: {\blue{\underbrace{\underline{\orange{\bf{Volume{\small_{(Cuboid)}}= L \times B \times H}}}}}}}}}$

❒ Solution :-

${\large{\pink{✧ }} \: {\bold{\underline{\bf{Let :}}}}}$

• ➵ Length = 5x
• ➵ Breadth = 3x
• ➵ Height = 2x

${\large{\pink{✧ }} \: {\bold{\underline{\bf{ Now \: the \: dimensions :}}}}}$

${\large{\twoheadrightarrow{\bf{15360= 5x \times 3x \times 2x}}}}$

${\large{\twoheadrightarrow{\bf{15360 = 15x \times 2x}}}}$

${\large{\twoheadrightarrow{\bf{15360 = 30x}}}}$

${\large{\twoheadrightarrow{\bf{ {\cancel\frac{15360}{30} = x}}}}}$

${\large{\red{\dashrightarrow \: \: \: </p><p>{\purple{\underline{\boxed{\bf{X = 512cm}}}}}}}}$

${\large{\pink{✧ }} \: {\bold{\underline{\bf{ Hence :}}}}}</p><p>$

${\blue{\longmapsto{\orange{\bf{Length = 5x = 5 \times 512 = 2560 cm}}}}}$

${\blue{\longmapsto{\orange{\bf{Breadth = 3x = 3 \times 512 = 1536 cm}}}}}$

${\blue{\longmapsto{\orange{\bf{Height = 2x = 2\times 512 = 1024 cm}}}}}$

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