Alice is covering a foam cube with fabric to make a footstool each side of a cube is 20 inches how many square inches of fabric will she need
120 inches of fabric
720 inches of fabric
1200 inches of fabric
2400 inches of fabric
Each cube has 6 sides, and each side has an area of 20 x 20 = 400 square inches.
Therefore, the total area of the cube is 6 x 400 = 2400 square inches.
Alice will need 2400 square inches of fabric to cover the foam cube.
Therefore, the answer is (d) 2400 inches of fabric.
To determine the total square inches of fabric Alice will need, we first need to calculate the surface area of the foam cube.
The surface area of a cube is found by multiplying the length of one side by itself and then multiplying by 6 (since a cube has 6 equal sides).
Given that each side of the foam cube is 20 inches, the surface area of the cube would be:
20 inches * 20 inches * 6 = 2400 square inches.
Therefore, Alice will need 2400 square inches of fabric to cover the foam cube and make a footstool. So, the correct answer is 2400 inches of fabric.
To find out how many square inches of fabric Alice will need to cover the foam cube, we need to calculate the surface area of the cube. Since each side of the cube measures 20 inches, all the sides have the same measurement.
The formula for the surface area of a cube is:
Surface Area = 6 * (side length)^2
Plugging in the value of the side length (20 inches), we can calculate the surface area:
Surface Area = 6 * (20 inches)^2
Surface Area = 6 * 400 square inches
Surface Area = 2400 square inches
Therefore, Alice will need 2400 square inches of fabric to cover the foam cube. So the correct answer is 2400 inches of fabric.