Question

The length ,breadth and height of a cuboid are in the ratio 3:2:1 .If the volume of a cuboid is 7986cube centimetre ,find its height,breadth and length
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Answer 1

$\huge\sf\pink{Answer}$

☞ Length = 328.5 cm

☞ Breadth = 219 cm

☞ Height = 109.5

$\rule{110}1$

$\huge\sf\blue{Given}$

✭ Ratio of Length Breadth and Height = 3:2:1

✭ Volume of Cuboid = 7986 cm³

$\rule{110}1$

$\huge\sf\gray{To \:Find}$

☆ Length, Breadth and Height?

$\rule{110}1$

$\huge\sf\purple{Steps}$

So we know the the volume of a cuboid is given by,

$\underline{\boxed{\sf Length× Breadth × Height}}$

So Let,

◕ Length = 3x

◕ Breadth = 2x

◕ Height = x

So substituting the values in the given formula,

➝ $\sf 3x × 2x × x = 7986$

➝ $\sf 6x^3 = 7986$

➝ $\sf x^3 = \dfrac{7986}{6}$

➝ $\sf x = \sqrt[3]{1331}$

➝ $\sf\orange{ x = 109.5}$

So now,

➢ Length = 328.5 cm

➢ Breadth = 219 cm

➢ Height = 109.5

$\rule{170}3$

Answer 2

Step-by-step explanation:

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