3 Ways To Find The Surface Area Of A Box

l is the length of the box, or the longest side. h is the height of the box. w is the width of the box.

Example: The length of the box is 5 feet.

Example: The height of the box is 4 feet.

Example: The width of the box is 2 feet.

The sides may be the same measurement. You just want to make sure you’re measuring three unique sides, even if two or three of them are all identical.

SurfaceArea=2lw+2lh+2wh{\displaystyle SurfaceArea=2lw+2lh+2wh} SurfaceArea=2(5)(2)+2(5)(4)+2(2)(4){\displaystyle SurfaceArea=2(5)(2)+2(5)(4)+2(2)(4)} SurfaceArea=20+40+16{\displaystyle SurfaceArea=20+40+16} SurfaceArea=76{\displaystyle SurfaceArea=76}

You have a box 5 feet long, 4 feet high, and 2 feet wide, what is the total surface area? Answer: 76feet2{\displaystyle 76feet^{2}}

Say the bottom has a surface area of 12 units squared. Say both sides have a surface area of 15 units squared. The total area would be 42 units squared, since 12+15+15=42{\displaystyle 12+15+15=42}.

B is the area of the base. h is the height of the cylinder. C is the circumference of the base. [8] X Research source

B is the area of the base. h is the height of the cylinder. C is the circumference of the base. [8] X Research source

Example: The radius of the base in a cylinder is 2. What is the area of the base? pi∗(2)2{\displaystyle pi*(2)^{2}} B = 4pi{\displaystyle 4pi}

Example: The radius of the base in a cylinder is 2. What is the area of the base? pi∗(2)2{\displaystyle pi*(2)^{2}} B = 4pi{\displaystyle 4pi}

Example: The radius of the base in a cylinder is 2. What is the area of the base? pi∗(2)2{\displaystyle pi*(2)^{2}} B = 4pi{\displaystyle 4pi}

2∗pi∗(2){\displaystyle 2pi(2)} C = 4pi{\displaystyle 4pi}

Example: In the same cylinder, with radius 2 inches, the height is 5 inches. h=5{\displaystyle h=5}

SurfaceArea=2B+hC{\displaystyle SurfaceArea=2B+hC} SurfaceArea=2(4pi)+(5)(4pi){\displaystyle SurfaceArea=2(4pi)+(5)(4pi)} SurfaceArea=8pi+20pi{\displaystyle SurfaceArea=8pi+20pi} SurfaceArea=28pi{\displaystyle SurfaceArea=28pi}

In the example, the units were given as inches. So the final answer would be 28pi{\displaystyle 28pi} inches2{\displaystyle inches^{2}}[13] X Research source

L = 10, W = 3, H = 2, → 112 units squared L = 6. 2, W = 2, H = 5. 4 → 113. 36 units squared On a rectangular box, the top is 5x3x2, the bottom 6x2x2. → 118pi units squared

Base = 3, Height = 10, Circumference = 1. 5 → 21 units squared Base = 25pi, Height = 3, Circumference = 10pi →80pi units squared Radius = 3, height = 3 → 36pi units squared