Answer: Option 1
Step-by-step explanation:
1. You know the lenght of both rectangular prism, therefore if both are similar, the scale factor is:

2. Then the scale factor of the volumes is:

3. Now, you must multiply the volume of the smalller rectangular prism by the scale factor obtained, then you obtain the following result:
Answer:
x = 13
y = 8
Step-by-step explanation:
Check the picture below. Recall, is an open-top box, so, the top is not part of the surface area, of the 300 cm². Also, recall, the base is a square, thus, length = width = x.

so.. that'd be the V(x) for such box, now, where is the maximum point at?

now, let's check if it's a maximum point at 10, by doing a first-derivative test on it. Check the second picture below.
so, the volume will then be at
5,5.08,5.8,8.05,8.5 :))))
Start with the equation,
V = 2s^3
Now substitute s with 3.5 units and evaluate the expression.
V = 2 * (3.5 units)^3
V = 2 * 42.875 units^3
V = 85.75 units^3
Answer: The volume is 85.75 cubic units