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
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To determine the dimensions of the paper needed to cover the box, we need to calculate the surface area of the box.
The formula for calculating the surface area of a rectangular prism is:
Surface Area = 2 * (Length * Width + Length * Height + Width * Height)
Let's substitute the given values into the formula:
Surface Area = 2 * (8 in * 2 in + 8 in * 2 in + 2 in * 2 in)
Surface Area = 2 * (16 in² + 16 in² + 4 in²)
Surface Area = 2 * (36 in²)
Surface Area = 72 in²
Now, let's compare this surface area to the options provided:
A) 8 in x 4 in = 32 in²
B) 8 in x 6 in = 48 in²
C) 8 in x 8 in = 64 in²
D) 8 in x 10 in = 80 in²
The only option with a surface area greater than or equal to 72 in² is option B) 8 in x 6 in. Therefore, Maria would need a paper with dimensions of 8 in x 6 in to cover the box, including the ends, with a little left over.