The rectangular prism below represents a box that is made completely out of cardboard. Find the total square inches of cardboard made up by the box.
Length:10.2
Width:5.4
Heigh:6
To find the total square inches of cardboard used to make the box, we need to calculate the surface area of each of the six sides and then add them together.
The formula to calculate the surface area of a rectangular prism is:
Surface Area = 2lw + 2lh + 2wh
Using the dimensions provided:
Length = 10.2 inches
Width = 5.4 inches
Height = 6 inches
Surface Area = 2(10.2*5.4) + 2(10.2*6) + 2(5.4*6)
Surface Area = 2(55.08) + 2(61.2) + 2(32.4)
Surface Area = 110.16 + 122.4 + 64.8
Surface Area = 297.36
Therefore, the total square inches of cardboard used to make the box is 297.36 square inches.