Answer:
Height: 48 feet.
Explanation:
Let W represent width of the rectangular solid.
We have been given that length is 2 times the width, so the length of the solid would be
.
We know that the perimeter of base of the cuboid is equal to 2 times sum of length and width.
We are also told that the height is twice the perimeter of the base.



We know that volume of cuboid is equal to length times width time Height.
We have been given that volume of a right rectangular solid is 1536
. We can represent our given information as:

Upon replacing length and height in terms of width, we will get:




Take cube root of both sides:
![\sqrt[3]{W^3}=\sqrt[3]{64}](https://img.qammunity.org/2021/formulas/mathematics/college/3ycmo9hjct4otpx0x8ntax2mvtfdwkngt4.png)

Therefore, the width of the solid is 4 feet.
Let us find Height of the solid as:

Therefore, the height of the rectangular solid is 48 feet.