A box in the shape of a rectangular prism has a volume of 56 cubic inches. If the length of each side is multiplied by 2, what will be the approximate voume of the resulting box?
multiply volume by 2^3 = 8
To find the volume of a rectangular prism, you need to multiply the length, width, and height of the box.
Given that the volume of the original box is 56 cubic inches, we can assume that the length, width, and height are all different. Let's call them l, w, and h respectively. So, we have lwh = 56.
If we multiply the length of each side by 2, we now have a new box with dimensions 2l, 2w, and 2h.
To find the new volume, we can substitute the new dimensions into the formula: (2l)(2w)(2h) = 8(lwh).
From the equation lwh = 56, we can deduce that 8(lwh) = 8 * 56.
So, the approximate volume of the resulting box would be 8 times the volume of the original box, which would be approximately 8 * 56 = 448 cubic inches.