The volume of a rectangular prism is 1,000^3 mm. Use the formula V = lwh to determine which of the statements are true. Choose all that apply. ((three correct answers))
A: The prism could be a cube with a side length of 10 mm. ***
B: It is possible for the length to be 1,000 mm.
C: The length, width, and height must end in 0. ***
D: It is possible that the length is 2.5 mm.
I have no clue what the last answer could be for it!! Please help!
i dont understand but tanks for helping om 87 years old and my grand child is righing this for me
It’s A, B, and D.
Thanks so much! The answers are 100% correct. You're a lifesaver :)))
To determine which statements are true, let's use the given formula for the volume of a rectangular prism: V = lwh.
Statement A: The prism could be a cube with a side length of 10 mm.
To check this statement, substitute the values into the volume formula:
V = (10 mm)(10 mm)(10 mm) = 1,000 cubic mm.
Since this matches the given volume, statement A is true.
Statement B: It is possible for the length to be 1,000 mm.
Let's substitute the values into the volume formula to check this statement:
V = (1,000 mm)(w)(h) = 1,000 cubic mm.
To satisfy this equation, we cannot determine the values of w and h, but the length can indeed be 1,000 mm. Therefore, statement B is true.
Statement C: The length, width, and height must end in 0.
Since we don't have specific values for the width and height, we cannot make a definitive conclusion about this statement. Therefore, we cannot determine if statement C is true or false.
Statement D: It is possible that the length is 2.5 mm.
Again, we can substitute the values into the volume formula to check this statement:
V = (2.5 mm)(w)(h) = 1,000 cubic mm.
To satisfy this equation, we would need the values of w and h to be such that their product multiplied by 2.5 mm equals 1,000 cubic mm. This is not possible, as there are no whole number solutions for w and h. Therefore, statement D is false.
Therefore, the correct statements are A, B, and C.