Question

a rectangular tin 20 cm long and 12 cm wide contains 1680 cm² of flour. what is the depth of flour in the tin if it is spread evenly​

Answer 1

Appropriate question

A rectangular tin 20 cm long and 12 cm wide contains 1680 cm³ of flour. what is the depth of flour in the tin if it is spread evenly.

Answer

• Depth of the flour on the tank = 7 cm

Explanation :-

Given

• Length of a rectangular tin = 20 cm
• Breadth of a rectangular tin = 12 cm
• Volume of flour the rectangular tin contains = 1680 cm³

To find

• The depth of the flour in the tin

Knowledge required :-

• Formula of volume of rectangle :-

⠀Volume of rectangle = l × b × h

where,

• l = length of the rectangle
• b = breadth of the rectangle
• h = height (depth) of the rectangle

Solution

Substitute the values in the formula of volume of rectangle,

⠀⠀⠀⇒ Volume of rectangular tank = lbh

⠀⠀⠀⇒ 1680 = 20 × 12 × h

⠀⠀⠀⇒ 1680 = 240 × h

⠀⠀⠀⇒ 1680/240 = h

⠀⠀⠀⇒ 7 = h

Depth of the flour on the tank = 7 cm

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Some related formulae :-

• Area of rectangle = length × breadth
• Perimeter of rectangle = 2(length + breadth)
• Diagonal of rectangle = √l² + √b²
• Area of square = side × side
• Perimeter of square = 4 × side
• Diagonal of square = √2a

Answer 2

Question :-

$~$

• A rectangular tin 20 cm long and 12 cm wide contains 1680 cm³ of flour. what is the depth of flour in the tin if it is spread evenly.

$~$

Given :-

$~$

• Length of a rectangular tin
• Breadth of a rectangular tin
• Volume of flour the rectangular tin contains = 1680 cm³

$~$

To find :-

$~$

• The depth of the flour in the tin.

$~$

★ Know More Information :

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• Formula of volume of reactangle :

$~$

$~~~~~~~~$ Volume of reactangle = l × b × h

$~$

• L = length of the reactangle
• B = breadth of the reactangle
• H = height ( depth ) of the reactangle

$~$

Solution :

$~$

Substituting the values in the formula of volume of reactangle

:$\implies$ Volume of rectangular tank = l×b×h

$~$

$~~~~~$:$\implies$ ${\sf{1680 = 20 × 12 × h}}$

$~$

$~~~~~~~~~~$:$\implies$ ${\sf{1680 = 240 × h}}$

$~$

$~~~~~~~~~~~~~~~$:$\implies$ $\large{\sf{\frac{1680}{240} = h}}$

$~$

$~~~~~~~~~~~~~~~~~~~~$:$\implies$ ${\sf{\dfrac{\cancel{1680}}{\cancel{240}} = h}}$

$~$

$~~~~~~~~~~~~~~~~~~~~~~~~~$:$\implies$ $\large{\underline{\boxed{\pink{\bf{7~=~h}}}}}$★

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$\large\dag$ Hence

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• Depth of the flour on the tank = $\underline{\bf{7~cm}}$ $\large{\bf\green{✓}}$

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$~~~~~~~~~~~~~~~~~$ $\large\dag$ More Formula's :

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• Area of reactangle = length × breadth
• Perimeter of reactangle = 2( length + breadth )
• Diagonal of reactangle = $√$l² + $√$b²
• Area of square = side × side
• Perimeter of square = 4 × side
• Diagonal of square = $√$2a