how many molds can you get from a rectangular prism with a volume of 28 cubic centimeters with a square base
its ten
OBVIOUSLY
10
To find out how many molds you can get from a rectangular prism with a volume of 28 cubic centimeters and a square base, you need to know the dimensions of the mold.
Assuming the mold has a square base just like the rectangular prism, let's determine the side length of the base.
Since the volume of the rectangular prism is given as 28 cubic centimeters, we can set up an equation using the formula for the volume of a rectangular prism:
Volume = length × width × height
In this case, the length and width are the same since the base is a square. Let's call the side length of the square base "s" and the height of the rectangular prism "h."
Therefore, the equation becomes:
28 = s × s × h
We know that the base area of the rectangular prism is s × s, which is equal to s^2. So, the height, h, is determined by dividing the volume by the base area:
h = volume / base area
h = 28 / (s^2)
Now, let's assume that the mold has a particular height that you have in mind. Using this height, we can calculate the side length of the square base, s.
For example, if you choose a mold height of 2 centimeters, we substitute h = 2 into the equation:
2 = 28 / (s^2)
To solve for s, we can rearrange the equation:
s^2 = 28 / 2
s^2 = 14
s = √14
So, the side length of the square base would be approximately √14 centimeters.
Now that we have the dimensions of the mold, we can find out how many molds we can get from the rectangular prism by dividing its volume by the volume of the mold. Since the volume of the mold is the same as the volume of the rectangular prism (28 cubic centimeters), each mold will take up the entire rectangular prism.
Therefore, you can get only one mold from a rectangular prism with a volume of 28 cubic centimeters and a square base.
21
s^2 h = 28
If s and h are whole numbers (no fractions allowed) then look at factors of 28
28 = 2 * 2 * 7
well that kind of settles it :) One