Answer:
D : 10 feet
Explanation:
Hello I think I can help with this.
Now how I would do this given a multiple choice question is kind of use brute force with your given answers to find the solution.
So the formula for area is known as (L x W x H)
or (length x width x height)
Lets see what we are given.
We are given the length which is 12
We are also given the width which is 4 1/2
And if we multiply these we can find the surface area of the base of this rectangular prism so lets do that.
12 multiplied by 4 1/2
=
54
Alright so now we know the base of this rectangular prism is 54 ft²
Now we can start the brute force method. So we are trying to find the height in this problem since we already have the width and length and have worked that out. So now all we do is multiply what we found (54) by the possible answers until one of them gives us the answer 540 ft³.
NOW this is actually really easy because we got 54 as our answer to length x width and our total amount of area is 540.
So instead of brute force we can take an easier route and do 540 / 54 and get an easy answer of 10 which is option D :
10 feet
I hope this helps you understand this a bit better!
If you are confused or have any concerns / questions feel free to comment or message me :)