The answer would have to be D
So we can start with the full of possibilities and eliminate them one by one.
The full set is {0,1,2,3,4,5,6,7,8,9}.
Now we know that any prime greater than 2 is odd as otherwise it would have 2 as a factor, so we can eliminate all of these digits that would be an even number, leaving:
{1,3,5,7,9}
We also know that any prime greater than 5 cannot be a multiple of 5 and that all numbers with 5 in the digits are a multiple of 5, so we can eliminate 5.
{1,3,7,9}
We know that 11,13,17 and 19 are all primes, so we cannot eliminate any more of these, leaving the set:
{1,3,7,9} as our answer.
Answer:
36 cubic inches.
Step-by-step explanation:
Let the length, width and height of the rectangular prism are a, b, c respectively.
So, surface area, 2(ab + bc + ca) = 32 {Given} ............ (1)
Volume, abc = 12 {Given} ............ (2)
And, the sum of all the edges, 4(a + b + c) = 28 {Given} .......... (3)
Now, if the length width and height are increased by 1 inch, then the volume of the prism will be = (a + 1)(b + 1)(c + 1)
= abc + (ab + bc + ca) + (a + b + c) + 1
= 12 + 16 + 7 + 1 {From equations (1), (2) and (3)}
= 36 cubic inches. (Answer)
Hi MayceeRhea15,
34x568 is 19,312 and don't worry about not being able to find your calculator, we have all been there before :)
Hope this helps
Cupkake~
