Ohio Assessments for Educators (OAE) Early Childhood Practice Exam

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The box has a depth of 4 ft, height of 3 ft, and width of 2 ft. What is the surface area covered with paint?

24 sq. ft.
30 sq. ft.
52 sq. ft.
60 sq. ft.

The correct answer is: 52 sq. ft.

To determine the surface area that needs to be painted on a box with given dimensions, you can calculate the surface area of a rectangular prism (or box) using the formula: Surface Area = 2 * (length * width + length * height + width * height) In this case, the dimensions of the box are: - Depth (length) = 4 ft - Height = 3 ft - Width = 2 ft Now, you plug the dimensions into the formula: 1. Calculate each of the area components: - Length * Width = 4 ft * 2 ft = 8 sq. ft. - Length * Height = 4 ft * 3 ft = 12 sq. ft. - Width * Height = 2 ft * 3 ft = 6 sq. ft. 2. Now, sum these areas: 8 sq. ft. + 12 sq. ft. + 6 sq. ft. = 26 sq. ft. 3. Finally, multiply by 2 to account for both sides of the box: 26 sq. ft. * 2 = 52 sq. ft. Therefore, the surface area covered with paint is 52 sq