Answer:
A, C
Step-by-step explanation:
Remember that the volume of a rectangular prism is the product of its length, width and height. Or, using variables, it can be expressed as:
V = lwh
Since the volume of the shape must be 40 units squared, we can rewrite the equation as:
lwh = 40
Even though the question has told us that one of the sides measure 5 units, we can use the figures to find the right answer. To do this, find the length, width and height of each shape and plug it into our volume formula. If their product is 40, then the volume of that shape is 40. If the product is not 40, then the volume of that shape is not 40 and it is not the right answer.
A) In this shape, l = 5, w = 2, h = 4,
[tex]5*2*4 = 40\\[/tex]
Since the product is 40, A is one of the correct answers.
B) In this shape, l = 5, w = 3, h = 2,
[tex]5*3*2 \neq 40[/tex]
Since the product is not 40, B is not one of the correct answers.
C) In this shape, l = 8, w = 1, h = 5
[tex]8*1*5 = 40[/tex]
Since the product is 40, C is the other correct answer.
And that's it! You can try D and E on your own and you will notice that they won't have a volume of 40 units squared. We have found the two correct answers: A and C.
