Question

$volume = 8ky^{2} + 24ky - 14k$
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Answer 1

$\huge{\underline{\bf\red{QuestiØn} :}}$

$\sf \: Find \: the \: dimeansions \\ \sf of \: the \: cuboid \: having \\ \boxed{ {\sf{volume}} = 8k {y}^{2} + 24ky - 14k}.$

$\huge{\underline{\bf\blue{SolutiØn}\ :}}$

To find the dimensions of the cuboid that are length, breadth & height of the cuboid.

For this, we have to factorise the volume -

We have,

$\begin{aligned} \\ volume & = 8k {y}^{2} + 24ky - 14k \\ \\ & = 2k(4 {y}^{2} + 12y - 7) \\ \\ & = 2k \big[4 {y}^{2} + (14 - 2)y - 7 \big] \\ \\ & = 2k \big[4 {y}^{2} + 14y - 2y - 7 \big] \\ \\ & = 2k \big[ \: 2y(2y + 7) - 1(2y + 7) \big] \\ \\ & = 2k \big[ (2y + 7)(2y - 1)\big] \\ \\ & = 2k(2y + 7)(2y - 1) \\ \\ & = \sf length \times breadth \times height & & \end{aligned}$

HENCE ,

The dimensions of the cuboid are :-

• 2k

• 2y + 7

• 2y - 1

$\red{\rule{5.5cm}{0.02cm}}$

$\Large{ \mid {\underline{\underline{\bf\green{BrainLiest \ AnswEr}}}} \mid }$

Answer 2

Answer:

i have given the answer.. hope it helps you...........