Rectangular Prism Surface Area Formula
Rectangular Prism Surface Area Formula is a Grade 7 math skill in Big Ideas Math Advanced 2, Chapter 14: Surface Area and Volume. Students apply the formula S = 2LH + 2LW + 2WH to calculate the total surface area of rectangular prisms by summing the areas of all six faces in three opposite pairs.
Key Concepts
For a rectangular prism with length $L$, width $W$, and height $H$:.
Surface Area: $S = 2LH + 2LW + 2WH$.
Common Questions
What is the surface area formula for a rectangular prism?
S = 2LH + 2LW + 2WH, where L is length, W is width, and H is height. Each term represents a pair of opposite faces.
How do you apply the rectangular prism surface area formula?
Find the area of each pair of faces and multiply by 2, then add all three results. For a 14 x 9 x 17 cm prism: S = 2(14x17) + 2(14x9) + 2(9x17) = 476 + 252 + 306 = 1034 square cm.
Why do we multiply each face area by 2 in the formula?
A rectangular prism has 6 faces arranged in 3 pairs of identical opposite faces. Each pair contributes twice the area of one face, so we multiply by 2 for each pair.
What does surface area represent in real life?
Surface area tells you how much material is needed to cover the outside of a box. Think of it as the amount of wrapping paper needed to completely cover the prism.