What is the formula for maximum volume?
So, if we cut X inches from our rectangle: V = (15-2X)(25-2X)X. Suppose, then, we want to know when the volume will be 400 cubic inches. We set V=400 and solve for X.
What is the formula for volume of square?
The volume of the square box is equal to V = s3. By following the steps mentioned below we can find the volume of a square box. Step 1: Calculate the length of any side of the box. Step 2: Find the cube of the side length.
What is the volume of the square box with 7 cm on one side?
Here, side = 7 cm. Therefore, volume of a cube = 343 cubic cm.
What is volume square?
Since each side of a square is the same, it can simply be the length of one side cubed. If a square has one side of 4 inches, the volume would be 4 inches times 4 inches times 4 inches, or 64 cubic inches.
What is the volume of the box with a height of 3 2?
Volume of box is 32×72×52=1058=1318=13.125 cubic inches.
How do you find the minimum volume?
- To find the minimum possible volume, subtract the greatest possible error from each measurement before calculating.
- To find the maximum possible volume, add the greatest possible error to each measurement before calculating.
How to calculate the maximum volume of a box?
You’ve got your answer: a height of 5 inches produces the box with maximum volume (2000 cubic inches). Because the length and width equal 30 – 2h, a height of 5 inches gives a length and width of 30 – 2 · 5, or 20 inches.
What’s the maximum volume of a cut out square?
The graph suggests the Maximum Volumeof the box is 513 cubicinches and occurs when the size of the cut out square box is 3.03 inches. The question still remains what size of the square would produce a box ofvolume equal to 400 cubic inches or V=400. This information can also beobtained by considering the graph size of cut out square
How to calculate the maximum volume of cardboard?
The height can’t be negative or greater than 15 inches (the cardboard is only 30 inches wide, so half of that is the maximum height). Thus, sensible values for h are 0 ≤ h ≤ 15.
Which is the formula for maximizing volume in calculus?
The applet also displays the formula for the volume (in terms of x, L, and W) as well as the formula for the derivative, but it computes the derivative without expanding (i.e., using the product rule) so the derivative formula is a bit messy. Other ‘Applications of Differentiation’ topics
