Question

the volume of a cuboid is 6400 cube cm.Its length is32cm.If its breadth and height are in ratio 2:1,find its breadth and height.
Plz...answer me fast​

Answer 1

Hope, you will understand.....☺️

Answer 2

$\Large{\underline{\underline{\mathfrak{\bf{Solution}}}}}$

$\Large{\underline{\mathfrak{\bf{Given}}}}$

• Volume of cuboid = 6400 cm³
• Length = 32 cm
• its breadth and height are in ratio 2:1

$\Large{\underline{\mathfrak{\bf{Find}}}}$

• Breadth & height

$\Large{\underline{\underline{\mathfrak{\bf{Explanation}}}}}$

Using Formula

★ Volume of Cuboid = ( length * breadth * height )

Let,

• Height be = x
• Then, breadth will be = 2x

So,

==> Volume of Cuboid = ( 32 * x * 2x)

==> 6400 = 64x²

==> x² = 6400/64

==> x² = 100

==> x = √100

==> x = 10

Hence

• Height of Cuboid = 10
• Breadth of cuboid = 2 * 10 = 20

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Answer Verification

Keep Value of Height , length & breadth

==> Volume of Cuboid = 32 * 10 * 20

==> 6400 = 640 *10

==> 6400 = 6400

L.H.S. = R.H.S.

That's proved

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