bottom: 9x10
two sides: 8x12
two sides: 10x12
two sides: 8x12
two sides: 10x12
2.D
3.A
4.C
The surface area of the bag can be calculated by finding the area of the bottom (which is a rectangle) and the areas of the four sides (which are all rectangles as well). Then, we add up these areas to get the total surface area.
Given:
Bottom dimensions: 8 inches by 10 inches.
Height of the bag: 12 inches.
To find the surface area of the bottom, we use the formula for the area of a rectangle: length x width.
Area of the bottom = 8 inches x 10 inches = 80 square inches.
Now let's calculate the area of one of the sides. The sides are all rectangles, so we will have two sides with the dimensions of 8 inches by 12 inches, and the other two sides with the dimensions of 10 inches by 12 inches.
Area of one side (8 inches by 12 inches) = 8 inches x 12 inches = 96 square inches.
Area of one side (10 inches by 12 inches) = 10 inches x 12 inches = 120 square inches.
We have four sides, so the total area of all sides is:
Total area of sides = 2 x (area of one side with dimensions 8 inches by 12 inches) + 2 x (area of one side with dimensions 10 inches by 12 inches)
= 2(96 square inches) + 2(120 square inches)
= 192 square inches + 240 square inches
= 432 square inches.
To find the total surface area, we need to add the area of the bottom to the total area of the sides:
Total surface area = Area of the bottom + Total area of sides
= 80 square inches + 432 square inches
= 512 square inches.
Therefore, to make the shopping bag, you would need 512 square inches of paper.