Question

Volume question?

Answer 1

See a solution process below:

Explanation:

The formula for the Volume of a box is:

`V = l xx w xx h`

Substituting the length, width and height of box a we can find it's volume as:

`V_a = 2 xx 3 xx 6`

`V_a = 6 xx 6`

`V_a = 36`

Because we are told both boxes are the same volume we can substitute this volume and the height and width of box B into the formula and solve for the length:

`36 = l xx 4 xx 3`

`36 = l xx 12`

`36/color(red)(12) = (l xx 12)/color(red)(12)`

`3 = (l xx color(red)(cancel(color(black)(12))))/cancel(color(red)(12))`

`3 = l`

`l = 3`

The length of box B is 3 inches.