Zoey is designing a jewelry box in the shape of a rectangular prism. The base is 6 inches by 5 inches and the height is 4 inches. If Zoey wants to cover all faces of the jewelry box with fabric, how much fabric will she need?
The box measures 6 by 5 by 4
Area of the top and bottom = 2 (65) = 60 square inches
Area of the sides = 2 (5 4) = 40 square inches
Area of front and back = 2 (6 4) = 48 square inches
60 + 40 + 48 = 148 square inches
Based on the information given about the prism, the fabrics needed will be 148 inches².
The area of the top and bottom will be:
= 2 × 6 × 5 = 60 inches²
Area of the sides = 2 × 5 × 4 = 40 inches²
Area of the front and back = 2 × 6 × 4 = 48 inches²
Therefore, the fabric needed will be:
= 60 + 40 + 48 = 148 inches²
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