Find the dimensions of a box that will held twice as many cubes as a box that is 2 by 6 by 4...Find the volume of original box..(2) Find the volume of the new box..(3) find the dimensions of new box...
The original box has a volume of 48 cubic whatevers. (You have not said wnat your length dimensions are. That becomes the "whatever")
(2) The new box will have a volume of 96 cubic whatevers.
(3) There is no single way to create a box with twice the volume of the first box. You could, for example, double any one of the length dimensions and leave the other two the same.
96
To find the dimensions of the new box, which will hold twice as many cubes as the original box, we can start by finding the volume of the original box.
(1) Find the volume of the original box:
To find the volume of a box, multiply its length, width, and height. In this case, the dimensions of the original box are given as 2 by 6 by 4.
Volume = length × width × height = 2 × 6 × 4 = 48 cubic units.
(2) Find the volume of the new box:
Since the new box will hold twice as many cubes as the original box, the volume of the new box will be twice the volume of the original box.
Volume of new box = 2 × Volume of original box = 2 × 48 = 96 cubic units.
(3) Find the dimensions of the new box:
To find the dimensions of the new box, we need to determine the length, width, and height that will give us a volume of 96 cubic units.
One possible set of dimensions for the new box could be 4 by 6 by 4. Let's calculate the volume using these dimensions:
Volume = length × width × height = 4 × 6 × 4 = 96 cubic units.
So, the dimensions of the new box that will hold twice as many cubes are 4 units for length, 6 units for width, and 4 units for height.