A tool box has the dimensions of 9 in by 3 in by 5 in. If Sadie plans to double one dimension to build a larger tool box, she believes she would double the volume of the tool box.

When either of the three dimension is doubled, the volume is doubled.

Step-by-step explanation:

Volume of the box = L x B x H

L = length = 9 in

B = Breadth = 3 in

H = Height = 5 in

Hence volume of box initially = 9 x 3 x 5 = 135 in³

If the volume of the box is to be double, a double value of either the breadth or length or height will ensure so

Hence Volume of new box when breadth is doubled = 9 x 6 x 5 = 270 in³

Hence Volume of new box when length is doubled = 18 x 3 x 5 = 270 in³

Hence Volume of new box when height is doubled = 9 x 3 x 10 = 270 in³