help pleaseeeeee!!!!!!!!!! How many unit cubes would it take to completely fill the prism with no gaps between unit cubes?
1 answer:
Answer:
72
Step-by-step explanation:
As you can see the top - view is a rectangle of 2 by 9 dimensions. Respectively the right - side view is a rectangle of 2 by 4 dimensions. The common dimension among both rectangles would be 2, making this rectangular prism have dimensions 2 by 4 by 9.
Therefore the rectangular prism will have a volume of 2 4
9
2 4
9 = 8( 9 ) = 72 cubic units
Solution : 72 unit cubes
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This is something you would do through trial and error. At least, that's the approach I took. I'm not sure if there is any algorithm to solve. The solution I got is shown in the attached image below. There are probably other solutions possible. The trick is to keep each number separate but not too far away so that the other numbers to be filled in later don't get too crowded to their neighbor.
Side note: any mirror copy of what I posted would work as well since you can flip the page around and it's effectively the same solution.
Answer:
3 3/4 cups
Step-by-step explanation:
We need 3/4 cups of beans for 7 servings, and we need to figure out how many cups we need for <em>35 servings</em>. You'll notice that 7 times 5 is 35. We can multiply 3/4 by 5 to find the answer to our problem. This thought process looks somewhat like this:
Notice that we can multiply 5 by 3/4 to find the value of x.
So, 3/4 times 5 is equal to 15/4, or 3 3/4. So, you need 3 3/4 cups of beans for 35 servings.
Hopefully this was helpful! If you have any more questions, let me know.