Considering the dimensions of the given rectangular prism and it's volume, the height of the chest is of 8 inches.
What is the volume of a rectangular prism?
The volume of a rectangular prism of width w, length l and height h is given by the multiplication of these dimensions, as follows:
V = lwh
For this problem, the dimensions are given as follows:
w = 16, l = 4h, V = 4096.
Hence the height of the chest can be found as follows:
lwh = 4096
16 x 4h x h = 4096
h² = 4096/64
h² = 64
h = 8.
Hence, the height of the chest is of 8 inches.
More can be learned about the volume of a rectangular prism at https://brainly.com/question/17223528
#SPJ1
