Greg is recovering one of his couch cushions. The cushion is in the shape of a rectangular prism. Greg drew a net of the cushion below.
Note: Figure is not drawn to scale.
If the length of the cushion measures 14 in, the width measures 8 in, and the height measures 4 in, how much fabric does Greg need to cover the cushion?
To find the total surface area of the cushion, we need to find the sum of the areas of all six faces.
1. Top face: Length x Width = 14 in x 8 in = 112 sq in
2. Bottom face: Length x Width = 14 in x 8 in = 112 sq in
3. Front face: Length x Height = 14 in x 4 in = 56 sq in
4. Back face: Length x Height = 14 in x 4 in = 56 sq in
5. Left side face: Width x Height = 8 in x 4 in = 32 sq in
6. Right side face: Width x Height = 8 in x 4 in = 32 sq in
Total surface area = 112 sq in + 112 sq in + 56 sq in + 56 sq in + 32 sq in + 32 sq in
= 400 sq in
Therefore, Greg needs 400 square inches of fabric to cover the cushion.