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
Your life is a train wreck
Why are all these answers NOT answers? Why does this seem to always happen on Jiskha?
I don't know, maybe surface area??? I'm lost...
I really want to say 8 in x 10, but I don't know if that would be correct...
wow... this question is more impossible to figure out than me...... AND I'M MYSELF!
To determine the dimensions of the paper needed to cover the box, we need to consider the surface area of the box. The surface area is the sum of the areas of all the faces of the box.
The box shown is a rectangular prism with dimensions:
Length = 8 in
Width = 2 in
Height = 2 in
Let's calculate the surface area of the box:
Face 1: Length * Width = 8 in * 2 in = 16 in^2
Face 2: Length * Width = 8 in * 2 in = 16 in^2
Face 3: Width * Height = 2 in * 2 in = 4 in^2
Face 4: Width * Height = 2 in * 2 in = 4 in^2
Face 5: Length * Height = 8 in * 2 in = 16 in^2
Face 6: Length * Height = 8 in * 2 in = 16 in^2
Total surface area = Face 1 + Face 2 + Face 3 + Face 4 + Face 5 + Face 6 = 16 in^2 + 16 in^2 + 4 in^2 + 4 in^2 + 16 in^2 + 16 in^2 = 72 in^2
To cover the box, you would need paper with a surface area greater than or equal to the surface area of the box.
Let's calculate the dimensions of each option and compare them to the surface area of the box:
A) 8 in x 4 in -> Surface Area = 8 in * 4 in = 32 in^2
B) 8 in x 6 in -> Surface Area = 8 in * 6 in = 48 in^2
C) 8 in x 8 in -> Surface Area = 8 in * 8 in = 64 in^2
D) 8 in x 10 in -> Surface Area = 8 in * 10 in = 80 in^2
Comparing the options to the surface area of the box:
A) 32 in^2 < 72 in^2 -> Not enough paper
B) 48 in^2 < 72 in^2 -> Not enough paper
C) 64 in^2 >= 72 in^2 -> Enough paper
D) 80 in^2 >= 72 in^2 -> Enough paper
Therefore, the dimensions of the paper that Maria could use to cover the box with a little left over are 8 in x 8 in, which is option C.