To assess the correctness of the statements about the new prism, consider the following:
-
The new prism will have a length of 5 because 3 + 2 = 5. - This statement appears to be true.
-
The new prism will have a width of 4 because 2 + 2 = 4. - This statement also seems to be true.
-
The new prism will have a height of 2 because 1 times 2 = 2. - This statement appears to be incorrect if it interprets the operation as multiplication; however, if it means the height is increased by 1 unit to total 2, without context, we cannot confirm it as factual.
-
The volume will increase by 6 because 2 times 3 = 6 and each of the 3 dimensions is increased by 2. - This statement is most likely incorrect because the increase in volume is determined by multiplying the changes in dimensions, not simply adding them together.
-
Srekar could increase the volume by the same amount by just adding 6 to the height instead of 2 to each side. - This statement is incorrect since adding 6 to the height alone does not equivalently increase the volume as increasing all dimensions would.
-
The volume of the new prism will be 20 times 3 = 60 because there will be 20 cubes in each layer and the height will be 3 so there will be 3 layers of 20 cubes each. - This is likely incorrect due to a misunderstanding of the relationship between layers and volume calculation.
To summarize, the three true statements are:
- The new prism will have a length of 5.
- The new prism will have a width of 4.
- The new prism will have a height of 2 (assuming the context allows for this interpretation).
Thus, the valid true answers align with the definitions of length and width as given, but without more context, the interpretation of height implies it's a bit vague. Therefore, careful attention to context can alter the ultimate 3 true statements.
4 answers