Question

Find the volume cuboid whose length,breadth and height are (xsquare-2);(2x+4)and (x-3)

Answer 1

Answer:

2x⁴ - 2x³ - 16x² + 4x + 24

Step-by-step explanation:

Length = x² - 2.

Breadth = 2x + 4

Height = x - 3.

Volume of cuboid = Length * Breadth * Height

= (x² - 2)(2x + 4)(x - 3)

= (x² - 2)[2x² - 6x + 4x - 12]

= (x² - 2)[2x² - 2x - 12]

= 2x⁴ - 2x³ - 12x² - 4x² + 4x + 24

= 2x⁴ - 2x³ - 16x² + 4x + 24.

Hoep it helps you.

#Bebrainly

Answer 2

$\huge\boxed{\texttt{\fcolorbox{Red}{aqua}{Hey Mate!!}}}$
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Here is your answer.

Length = x^2 - 2

Breadth = 2x +4

Height = x - 3

As we know the formula

Volume of Cuboid= Length × Breadth × Height
$= ( {x}^{2} - 2)(2x + 4)(x - 3) \\ \\ = ( {x}^{2} (2x + 4) - 2(2x + 4))(x - 3) \\ \\ =( 2 {x}^{3} + 4 {x}^{2} - 4x - 8)(x - 3) \\ \\ = x(2 {x}^{3} + 4 {x}^{2} - 4x - 8) - 3(2 {x}^{3} + 4 {x}^{2} - 4x - 8) \\ \\ = 2 {x}^{4} + 4 {x}^{3} - 4 {x}^{2} - 8x - 6 {x}^{3} - 12 {x}^{2} + 12x + 24 \\ \\ = 2 {x}^{4} + 4 {x}^{3} - 6 {x}^{3} - 4 {x}^{2} - 12 {x}^{2} - 8x + 12x + 24 \\ \\ = (2 {x}^{4} - 2 {x}^{3} - 16 {x}^{2} + 4x + 24) \: cubic \: unit$

$\large{\red{\boxed{\boxed{\boxed{\boxed{\boxed{\boxed{\boxed{\boxed{\boxed{\boxed{\underline{\underline{\underline{Hope \: it \: helps\: you}}}}}}}}}}}}}}}$

$\huge\boxed{\texttt{\fcolorbox{Red}{yellow}{Be brainly!!}}}$

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$\huge\bf{\huge{\bf{\bf{@... MonarkSingh}}}}$