What is the possible expression for the dimension of the cuboid whose volume is given below?
$V o l u m e : 3 x^{2} - 12 x$

4 \times x \times (x - 4)

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3 \times x \times (x - 4)

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4 \times x \times (x + 4)

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3 \times x \times (x + 4)

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Solution

The correct option is C $3 \times x \times (x - 4)$
Given, $V o l u m e = 3 x^{2} - 12 x$
$= 3 x (x - 4) = 3 \times x \times (x - 4)$
$∴$ Possible dimensions are 3 units, x units and (x-4) units

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Similar questions

The volume of cuboid is given by the expression x³ + 2x³ – x - 2 . The dimension of the cuboid for x = 5 is:

What are the possible expressions for the dimensions of the cuboid whose volumes are given below?
(i) Volume: ${3 x}^{2} - 12 x$

(ii) Volume: $12 k y^{2} + 8 k y - 20 k$

(x^{2} - 2), (2 x + 4)

(x - 3) .

p (x) = x^{3} + 12 x^{2} + 47 x + 60

p (- 3) = p (- 4) = p (- 5) = 0

What are the possible expressions for the dimensions of the cuboid whose volume is 3x^— 12x

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