Respuesta :
Answer:
1. True
2. False
3. True
4. True
5. False
Step-by-step explanation:
1. Volume is labeled in cubic units, as it is the multiplication of 3 dimensions
2. Surface area is only labeled in square units, not cubic units, it is area after all, and that is the multiplication of 2 dimensions
3. The volume of many figures in general is through multiplication of base and height. Though there are exeptions, the Volume of a Prism is computed through base and height multiplication
4. Yes, surface area is the sum of the areas of the sides of a 3-dimensional figure
5. Actually it is the volume of a pyramid that is One-third the volume of a prism, not the other way around
The statements 1,3 and 4 are true.
What is surface area?
Surface area is explained as the sum of the areas of all the closed surfaces of a solid. The surface of any area is the region occupied by the surface of an object.
What is volume?
Volume is the amount of space available in an object. It is the space enclosed by a boundary or occupied by an object or the capacity to hold something.
For the given situation,
There are several statements, we need to check which statements are true.
Statement 1: Volume is labeled with cubic units.
Volume is the measure of three dimensional space. So volume should be labeled in cubic units.
Thus, statement 1 is true.
Statement 2: Surface area is labeled with cubic units.
Surface area is the total area of the faces of a three-dimensional shape. Surface area is labelled in square units.
Thus, statement 2 if false.
Statement 3: Volume of a prism is the product of the area of the base and height.
The volume of the prism is defined as the product of the area of the base and the length (height).
Thus, statement 3 is true.
Statement 4: Surface area is the sum of the areas of each side.
The surface area of a three-dimensional object is the total area of all its faces.
Thus, statement 4 is true.
Statement 5: The volume of a prism is One-third the volume of a pyramid.
The formula for the volume of a prism is V=Bh , where B is the base area and h is the height. The volume of a pyramid is found using the formula Β V = (1/3) Bh, where B is the base area and 'h' is the height of the pyramid.
Thus, statement is false.
Hence we can conclude that the statements 1,3 and 4 are true.
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