Select ALL the correct answers from the provided below
Choose the statements that are true about a cube with a side length of 1 unit.
A. It has a volume of 6 cubic units.
B. It has a volume of 1 cubic unit.
C. It has a volume of 3 cubic units.
D. It is called a "unit cube."
E. It can be used to measure volume.
F. It is called a "one block."
B. It has a volume of 1 cubic unit.
D. It is called a "unit cube."
E. It can be used to measure volume.
There is an expression some people use that says what you put into it is what you get out of it some people use this expression to describe your skills at a sport or activity and how that relates to the amount of time and effort you spend practicing that activity does this expression apply to functions how give me an example to support your answer
Yes, this expression can apply to functions. The output of a function is determined by the input provided to the function, and the function itself represents the relationship between its input and output.
For example, consider the function f(x) = 2x, which takes an input number x, multiplies it by 2, and returns the resulting output. If we put in an input of 3, then the output will be 2 times 3, which equals 6. Similarly, if we put in an input of 6, then the output will be 2 times 6, which equals 12. Thus, the input we put into the function (3 or 6) determines the output we get out of the function (6 or 12). The same can be said for other functions, where the output is determined by the input provided and the function's rules.
To determine the correct answers, we need to understand the properties of a cube with a side length of 1 unit.
A cube is a three-dimensional shape where all sides (faces) are congruent squares. The volume of a cube is calculated by multiplying the length of one side by itself two times (s³).
Now, let's evaluate each statement:
A. It has a volume of 6 cubic units.
To find the volume of a cube with a side length of 1 unit, we substitute s=1 into the formula: 1³ = 1.
This means that the cube has a volume of 1 cubic unit, not 6 cubic units. Therefore, this statement is false.
B. It has a volume of 1 cubic unit.
As explained above, the correct calculation for volume is 1³ = 1.
Hence, this statement is true.
C. It has a volume of 3 cubic units.
This statement is incorrect since we have already established that the cube has a volume of 1 cubic unit, not 3 cubic units.
D. It is called a "unit cube."
This statement is true. A cube with side length 1 unit is referred to as a "unit cube."
E. It can be used to measure volume.
This statement is true. A unit cube is commonly used as a reference for measuring volume and establishing a standard unit of volume.
F. It is called a "one block."
This statement is incorrect. A cube with a side length of 1 unit is typically referred to as a "unit cube," not a "one block."
In conclusion, the correct statements are:
B. It has a volume of 1 cubic unit.
D. It is called a "unit cube."
E. It can be used to measure volume.