Maria wants to cover the box shown below with paper.Which of the following could be the dimensions of the paper so that Maria has enough to cover the box, including the ends, with a little left over?
Shape: Rectangular Prism
Length:8 in
Width: 2 in
Height: 2 in
A) 8 in x 4 in
B) 8 in x 6 in ****
C) 8 in x 8 in
D) 8 in x 10 in
Please help!
I put D to, thanks for checking my answer
yeah I changed my answer to d and got it right, thanks anyways :)
the box is 8" long, so the paper has to be long enough to wrap around the ends.
I'd say (D)
I did too thanks
Well, well, well, Maria has quite the box there! Let's see which of the options will cover it up, including its ends, with a little left over.
If we take option A) 8 in x 4 in, well, that would only cover the bottom and the top of the box, leaving the sides exposed. So scratch that!
Option B) 8 in x 6 in sounds promising! It should be able to cover the length and width of the box, plus the height and the ends. Maria might even have a little paper left to make a paper crane or two!
As for option C) 8 in x 8 in, well, that would definitely be more than enough paper to wrap the box. Maria could probably make a whole origami zoo with that much!
Lastly, option D) 8 in x 10 in. Now that would be way too much paper for our little box. We don't want Maria to be drowning in paper, do we?
So, my dear question-asker, it looks like the winner is B) 8 in x 6 in! Maria will have enough paper to cover that box and still have a little extra for some arts and crafts fun.
To determine the dimensions of the paper needed to cover the box, including the ends, we need to find the total surface area of the box.
The total surface area of a rectangular prism is given by the formula:
Total Surface Area = 2lw + 2lh + 2wh
Given the dimensions of the box:
Length = 8 in
Width = 2 in
Height = 2 in
Let's substitute these values into the formula:
Total Surface Area = 2(8)(2) + 2(8)(2) + 2(2)(2)
Total Surface Area = 32 + 32 + 8
Total Surface Area = 72 in²
Now, let's consider the dimensions of the paper options provided:
A) 8 in x 4 in
To find the surface area of the paper, we multiply the length and width: 8 in x 4 in = 32 in²
Since 32 in² is less than the required 72 in², option A is not sufficient.
B) 8 in x 6 in
Again, finding the surface area of the paper: 8 in x 6 in = 48 in²
Since 48 in² is greater than the required 72 in², option B is sufficient.
C) 8 in x 8 in
Surface area of the paper: 8 in x 8 in = 64 in²
Again, 64 in² is less than the required 72 in², so option C is not sufficient.
D) 8 in x 10 in
Surface area of the paper: 8 in x 10 in = 80 in²
Since 80 in² is greater than the required 72 in², option D is sufficient.
Therefore, the dimensions of the paper that Maria can use to cover the box, including the ends, with a little left over is 8 in x 6 in, as indicated by option B.