Question 19 options:
If a cardboard tube is cut vertically, it is a rectangle. What is the surface area of a cardboard tube that is 4 inches long with a circumference of 5 inches?
Blank Space__________in²
To find the surface area of the cardboard tube, we need to calculate the area of the rectangle that is formed when the tube is cut vertically.
The height of the rectangle is given as 4 inches.
To find the width of the rectangle, we can use the circumference of the tube. The circumference is the distance around the tube, which is equal to the perimeter of the rectangle. The formula for the perimeter of a rectangle is P = 2(l + w), where P is the perimeter, l is the length, and w is the width. In this case, the perimeter (circumference) is 5 inches, and the length (height) is 4 inches. We can rearrange the formula to solve for the width:
5 = 2(4 + w)
5 = 8 + 2w
2w = -3
w = -3/2
Since the width of a rectangle cannot be negative, this means there is an error in the given information. Please double-check the measurements of the circumference and provide the correct value.