Suppose you were to build a box for shipping that contained 1728 cubic inches.
What equation could you use to determine the dimensions of the container?
A. 1728= 6h³
B. 1728 = 14h³
C. 1728= 8h³
D. 1728 64h³
O E. 1728 =
Final answer:
The correct equation to determine the dimensions of a container with a volume of 1728 cubic inches, where the width is twice the height and the length is twice the width, is 1728 = 8h^3.
Explanation:
To determine the dimensions of a container given that the width is twice the height, and the length is twice the width, we would consider the volume of the box, which is the product of the length, width, and height. Given that the volume is 1728 cubic inches, if we let h represent the height, then the width would be 2h, and the length would be 2 times the width, which is 4h. Therefore, the equation to represent the volume of the container would be:
Volume = length × width × height
1728 = 4h × 2h × h
1728 = 8h³
So, the correct equation to determine the dimensions of the container is 1728 = 8h³.
What equation could you use to determine the dimensions of the container? The correct equation to determine the dimensions of a container with a volume of 1728 cubic inches, where the width is twice the height and the length is twice the width, is 1728 = 8h^3.