General

How do you find the volume of a box as a function of x?

How do you find the volume of a box as a function of x?

The length and width of the bottom of the box are both smaller than the cardboard because of the cut out corners. So the volume, as a function of x, is given by V(x) = x(25 – 2x)(20 – 2x). The graph of this function is shown in the upper right corner.

What is volume of box?

To find the volume of a box, simply multiply length, width, and height — and you’re good to go! For example, if a box is 5×7×2 cm, then the volume of a box is 70 cubic centimeters.

What does volume of box mean?

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Lesson Summary. In this lesson, we learned that volume is the amount of space that a substance (or object) fills in a container. To find the volume of a box, or rectangular prism, we simply need to multiply the length of the box by its width and then height.

What are the 2 formulas for volume?

Perimeter, Area, and Volume

Table 3. Volume Formulas
Shape Formula Variables
Cube V=s3 s is the length of the side.
Right Rectangular Prism V=LWH L is the length, W is the width and H is the height.
Prism or Cylinder V=Ah A is the area of the base, h is the height.

How do you find the length and width of a box?

How do you measure a box?

  1. The first dimension to measure is length. Length is always the longest side of the box that has a flap.
  2. The next dimension is width. The width side also has a flap, but is always the side shorter than the length.
  3. Measure the height of the package. Height is the only dimension without a flap.
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How do you find the volume of a box?

Volume of a Box Formula. The volume of a box is its width, times its height, times its depth. Volume = Width * Height * Depth

What is the size of the packaging box?

A packaging box has a length of 9 inches, a height of 5 inches, and a width of 8 inches. What is the volume of the packaging box? Take the quiz below to see how well you can find the volume of a box or rectangular prism.

What is the volume of a 25×4 box?

For example, if the base of the box is 25 sq ft and the side of the box ortogonal to it is 4 feet long, then the box volume is 25 x 4 = 100 cu ft. Often one needs to calculate the volume of shipping containers, boxes, crates, tanks, and other transportation devices.

How do you find the volume of a rectangular prism?

Expression for the length of the box is L = (x + 4). If L, H and W represent the length, height and width of the prism, then the volume of the rectangular prism is :