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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!
A solid cube of side 6 is first painted pink and then cut into smaller cubes of side 2 How many of the smaller cubes have paint on exactly 2 sides?
12
How many unit cubes would you need to create a tower that was 6 unit cubes tall and 2 unit cubes deep?
12
How do you find a volume of unit cubes?
By definition, a unit cube has a volume of 1. "Unit" means 1 so if the volume was not 1 it would not be called a unit cube!
How must unit cubes be stacked when used to measure volume with an answer?
help
What is the volume of a 12 base-ten cubes?
12000 cubic units.
Which cubes have the same volume and surface area?
A cube with an edge length of 6 units has a 216 square unit surface area and a 216 cubic unit volume.
Are Unit Cubes Always the Same Size?
No. A cube with sides which are 1 centimetre long or that of 1 inch are both unit cubes, as is a cube with sides of 1 decimetre (volume = 1 litre).
How many 1 by 1 unit cubes would equal the volume of the figure shown?
Zero.
What is a number of same size unit cubes that fill a solid figure without overlaps or gasps in it?
Volume
In unit cubes the base area is 120 mm2 and the height is 6 mm what's the volume?
720mm3
How can the ten cubes have the same volume but different masses?
The cubes can have the same volume but different masses if they are made of different materials with varying densities. Density is the measure of mass per unit volume, so cubes made of denser materials will have a higher mass even if their volume is the same.
How many unit cubes would it take to fill a box with a volume of 2 feet cubed?
A ft unit cube is 1 cubic foot. Therefore the answer is 2
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.
