A production crew is assembling a three-level platform inside a stadium for a performance. The platform has the dimensions of 4x long and 2x wide, the middle box has the dimensions of 6x long and 4x wide, and the bottom box has the dimensions of 8x long and 6x wide. What is the volume, in terms of x, of each of the three levels of the platform?
The total volume of the platform is 1250 cubic feet.
To find volume we also need the height, you don't state it.
The height is x someone please solve the problem
To find the volume of each level of the platform, we need to multiply the length, width, and height of each box.
Let's start with the first level, which has the dimensions 4x long and 2x wide. Since the height of the first level is not given, we'll assume it to be 1x. Therefore, the volume of the first level is:
Volume of first level = (4x) * (2x) * (1x) = 8x^3
For the second level, the dimensions are given as 6x long and 4x wide. Again, assuming a height of 1x, the volume of the second level is:
Volume of second level = (6x) * (4x) * (1x) = 24x^3
Finally, for the third level, the dimensions are given as 8x long and 6x wide. Assuming a height of 1x, the volume of the third level is:
Volume of third level = (8x) * (6x) * (1x) = 48x^3
So, in terms of x, the volume of each level of the platform is:
- First level: 8x^3
- Second level: 24x^3
- Third level: 48x^3