If the length of the cushion measures 13 in, the width measures 9 in, and the height measures 3 in, how much fabric does Greg need to cover the cushion?
The formula for finding the surface area of a rectangular prism (such as a cushion) is:
Surface Area = 2lw + 2lh + 2wh
where l is the length, w is the width, and h is the height. To find the amount of fabric needed to cover the cushion, we need to calculate the surface area.
Surface Area = 2(13)(9) + 2(13)(3) + 2(9)(3)
Surface Area = 234 + 78 + 54
Surface Area = 366 square inches
Therefore, Greg will need 366 square inches of fabric to cover the cushion.
To find the amount of fabric needed to cover the cushion, you need to calculate the surface area of the cushion.
Step 1: Calculate the area of the top surface:
The area of the top surface is the length multiplied by the width.
Area of the top surface = Length × Width
Area of the top surface = 13 in × 9 in
Step 2: Calculate the area of the bottom surface:
The area of the bottom surface is the same as the top surface since the cushion is symmetrical.
Area of the bottom surface = Area of the top surface
Step 3: Calculate the area of the side surfaces:
There are two side surfaces on the cushion, which are rectangles. The area of a rectangle is found by multiplying the length by the height.
Area of one side surface = Length × Height
Area of one side surface = 13 in × 3 in
Step 4: Add up the areas of all the surfaces to find the total fabric needed:
Total fabric needed = 2 × Area of the top surface + 2 × Area of the side surface
Total fabric needed = 2 × (13 in × 9 in) + 2 × (13 in × 3 in)
Now, let's calculate the total fabric needed for Greg to cover the cushion.