Question

Thr volume of a cuboid is given by the algebraic expression 2ky2+6ky -20k. Find the possible expressions
for the dimensions of the cuboid.
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Answer 1

Answer:

L= 2k  ; B= y+5  ; H= y-2

Step-by-step explanation:

VOLUME OF A CUBOID = L x B x H

2ky^2 + 6ky – 20k

= 2k (y^2 + 3y – 10)

= 2k ( y^2 + 5y – 2y -10)

= 2k ( y(y+5) -2(y+5) )

= 2k (y+5)(y-2)

=> L= 2k  ; B= y+5  ; H= y-2

Answer 2

$\Large{\underline{\underline{\bf{Ello}}}}$

$we \: know \: that \: \\ \\ volume \: of \: a \: cuboid \: = length \: \times \: breadth \: \times \: height \\ \\ we \: have \\ \\ volume \: of \: the \: cuboid = 2k {y}^{2} + 6ky - 20k \\ \\ = 2k( {y}^{2} + 3y - 10) \\ \\ = 2k( {y}^{2} + 5y - 2y - 10) \\ \\ = 2k[y(y + 5) - 2(y + 5)] \\ \\ = 2k(y + 5)(y - 2)$

$\Large{\underline{\underline{\bf{Thanks}}}}$