Question

Give possible expression for length, breadth and height of a cuboid whose

volume is 2ky^2 − 14ky + 20k.​

Answer 1

Step-by-step explanation:

$\sf \large \blue{ \star \: GIVEN}$

$\displaystyle \sf \: Volume \: of \: cubiod \: = 2k {y}^{2} - 14ky + 20$

$\sf \large \blue{\star TO \: FIND}$

$\sf \: Possible \: dimensions \: of \: cubiod$

$\sf \large \blue{ \star SOLUTION}$

$\displaystyle \sf \: Volume \: of \: cubiod \: = 2k {y}^{2} - 14ky + 20 \\ \sf common \: the \: \: same \: term \\ \sf \: = 2k( {y}^{2} - 7y + 10) \\ = \sf \: 2 \times k \times ( {y}^{2} - y7 + 10)$

$\sf \: volume \: of \: cubiod \: =( length) \times (breadth) \times (height) \\ \sf \: compare \: it \: \: with \: the \: volume \: given \: we \: get$

$\sf \: dimensions \: of \: cubiod \: is \: \\ \sf\: 2 \: and \: \: k \: \: and \: ( {y}^{2} - 7x + 10)$