The net of a rectangular dimensions in inches are shown in the diagram 20 inches 24 inches 14 inches 24”, 30 inches and 20 inches. What is the total rectangular pyramid in square inches
To find the total surface area of a rectangular prism, you need to calculate the area of each of its six faces and then add them all together.
The formula for the surface area of a rectangular prism is:
2lw + 2lh + 2wh
Given dimensions:
Length (l) = 24 inches
Width (w) = 30 inches
Height (h) = 20 inches
Calculating the area of each face:
- Front and back faces (lw): 24 * 30 = 720 sq. in. each
- Top and bottom faces (lh): 24 * 20 = 480 sq. in. each
- Side faces (wh): 30 * 20 = 600 sq. in. each
Adding the areas of all faces:
2(720) + 2(480) + 2(600) = 1440 + 960 + 1200 = 3600 sq. inches
Therefore, the total surface area of the rectangular prism is 3600 square inches.