TO FIND THE TOTAL AREA OF A RECTANGULAR SOLID CARTON.
LENGTH: 4 1/2 FT
HEIGHT: 2 FT
WIDTH: 3FT
To find the total surface area of a rectangular solid (also known as a rectangular prism or carton), you need to calculate the sum of the areas of all six sides.
The formula to calculate the surface area of a rectangular solid is:
Surface Area = 2lw + 2lh + 2wh
In this case, the given dimensions of the rectangular solid are:
Length = 4 1/2 ft
Height = 2 ft
Width = 3 ft
Let's substitute these values into the formula and calculate the total area:
Surface Area = 2(4 1/2)(2) + 2(4 1/2)(3) + 2(2)(3)
Surface Area = 2(9/2)(2) + 2(9/2)(3) + 2(2)(3)
Surface Area = 2(9)(2) + 2(9)(3) + 2(2)(3)
Surface Area = 36 + 54 + 12
Surface Area = 102 square feet
Therefore, the total area of the rectangular solid carton is 102 square feet.