Question

evaluate the possible dimensions for the expression of the cuboid whose volume is
$2 {x }^{2} - 16$
​

Answer 1

Given, volume = 2x² - 16

{There can be different dimensions.}

1:-

By factoring, 2x² - 16:-

(2)(x² - 2√2)

= (2)(x² - 2√2)(1) = l.b.h

2:-

Again, 2x² - 16:-

= (√2x - 8)(√2 + 8)(1) = l.b.h

3:-

2x² - 16:-

= (1)(1)(2x² - 16) = l.b.h

So, some of the possible dimensions are,

• (2)(x² - 2√2)(1)
• (√2x - 8)(√2 + 8)(1)
• (1)(1)(2x² - 16).