Since the dimensions have a proportional relationship, the new volume can be calculated using the original volume and the scale factor. The new volume will be the cube of the change, which is 1 /64 . The new volume is the product of 6,336 and 1 /64 .
The volume of the new design without knowing the dimensions will be 99 square inches.
Let the prism with a length of L, a width of W, and a height of H. Then the volume of the prism is given as
V = L x W x H
A cardboard box has a volume that is 6,336 cubic inches.
L x W x H = 6336 cubic inches
A company creates a new design with the same proportions, but instead the dimensions are 1/4 the dimensions.
Then the dimension will be L/4, W/4, and H/4.
Then the volume will be
V = L/4 x W/4 x H/4
V = L x W x H / 64
V = 6336 / 64
V = 99 cubic inches
More about the volume of the prism link is given below.
https://brainly.com/question/16246207
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