Question

Please help me thanks...

Answer 1

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 = $\pi r^2$

                             = $3.14\times 2^2$

                             = 12.56 in²

Area of the 2 circles = 2 × 12.56 = 25.12 in²

Area of the rectangle = circumference × height

                                    = $2 \pi r\times h$

                                    = $2 \times 3.14 \times 2\times 10.5$

                                    = 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.