144.44 in² is the closest amount of paper she will use to wrap the gift.
Solution:
The given net is the shape of the cylinder.
Diameter of the circle = 4 in
Radius of the circle = 4 ÷ 2 = 2 in
Width of the container = 10.5 in
Length of the container is same as the circumference of the circle.
Area of the circle = [tex]\pi r^2[/tex]
= [tex]3.14\times 2^2[/tex]
= 12.56 in²
Area of the 2 circles = 2 × 12.56 = 25.12 in²
Area of the rectangle = circumference × height
= [tex]2 \pi r\times h[/tex]
= [tex]2 \times 3.14 \times 2\times 10.5[/tex]
= 131.88 in²
Area of the net of the container
= Area of the circles + Area of the rectangle
= 12.56 in² + 131.88 in²
= 144.44 in²
Area of the net of the container = 144.44 in²
Hence 144.44 in² is the closest amount of paper she will use to wrap the gift.
