Final answer:
The true statements about a cube with side length 1 unit are:
a. It has a volume of 1 cubic unit.
c. It can be used to measure volume.
e. It is called a unit cube.
Step-by-step explanation:
A cube with a side length of 1 unit is often referred to as a unit cube. It is a fundamental concept in geometry and has several properties that can be used to answer the statements provided.
a) It has a volume of 1 cubic unit.
The volume of a cube is calculated using the formula V = s^3, where V represents the volume and s represents the length of one side. Substituting the value of s as 1 unit into the formula, we get V = 1^3, which equals 1 cubic unit. Therefore, the statement that it has a volume of 1 cubic unit is true.
b) It is called a one block.
This statement is not accurate. While a cube with a side length of 1 unit can be referred to as a unit cube, it is not commonly known as a “one block.”
c) It can be used to measure volume.
A unit cube is indeed used as a standard for measuring volume. In mathematics and engineering, the concept of a unit cube serves as a reference for understanding and calculating volumes.
d) It has a volume of 6 cubic units.
This statement is incorrect. As previously mentioned, the volume of a cube with a side length of 1 unit is 1 cubic unit, not 6 cubic units.
e) It is called a unit cube.
This statement is true. A cube with side length 1 unit is commonly referred to as a unit cube due to its fundamental role in understanding measurements and volumes.
f) It has a volume of 3 cubic units.
This statement is false. As established earlier, the volume of a cube with side length 1 unit is 1 cubic unit, not 3 cubic units.