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What is the Derivation of formula of volume of cuboid?
In the case of a rectangular cuboid, I would say that the volume is simply DEFINED to be length x width x height. The volume of other, more complicated shapes, can then be derived, based on this basic definition. But you do need to have a starting point, i.e., "How is volume even defined in the first place?"Just to show that this definition makes sense, think of a rectangular cuboid as having integer values for length, width, and height. In that case, you can divide it into unit cubes (cubes of side length 1), and it is easy to see (basically, by counting the unit cubes) that the number of unit cubes will be length x width x height - IN THIS SPECIAL CASE.
How much concrete do you need for 10ft x 70ft x 4in?
To calculate volume, all the dimensions should be converted to the same unit, so that the volume will be in cubes of that unit. Since there are 12 inches in one foot, 4 inches = 1/3 foot. Multiplying the three dimensions together yields 700/3 cubic feet of concrete required, or as a decimal, 233.33....
How many different rectangular prisms can be made using 48 cubes if the height is 4 cubes?
Well, honey, if the height is 4 cubes, that leaves you with 12 cubes to work with for the base. You can arrange those 12 cubes in various ways to form different rectangular prisms. So, technically speaking, there are multiple rectangular prisms you can create with 48 cubes and a height of 4 cubes.
How many cubes would you need to build a stack that was 3 cubes long 2 cubes high and 4 cubes deep?
Well, isn't that just a delightful little stack of cubes you're imagining! To build a stack that is 3 cubes long, 2 cubes high, and 4 cubes deep, you would need a total of 24 cubes. Just imagine all the happy little details you could add to each cube as you stack them up!
What are the perfect cubes between 1000 and 3000?
There are only two. They are 13^3 = 1331 and 14^3 = 2744.
