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Multiplication of Monomials

What is the v...

Question

What is the volume of a cuboidal box of length $8 x y$ units, breadth $3 x y$ units and height $x y$ units?

A

$24 x^{2} y^{2} c u b i c u n i t s$

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B

$24 x y c u b i c u n i t s$

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C

$24 x^{3} y c u b i c u n i t s$

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D

$24 x^{3} y^{3} c u b i c u n i t s$

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Solution

The correct option is D
$24 x^{3} y^{3} c u b i c u n i t s$

Given,
$l e n g t h = 8 x y u n i t s$
$b r e a d t h = 3 x y u n i t s$
$h e i g h t = x y u n i t s$

We know that, volume of a cuboid
$= l e n g t h \times b r e a d t h \times h e i g h t$
$= 8 x y \times 3 x y \times x y$
$= 24 x^{3} y^{3} c u b i c u n i t s$

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