LEARN MATH STEP BY STEP THROUGH VERY EASY PROCESS

SURFACE AREA OF CUBOID

__SURFACE AREA OF CUBOID -__

**Surface are of a cuboid is the sum of the areas of all its six rectangular faces.**

**The adjoining diagram shows a cuboid with, length = l units**

** breadth = b units,**

**and, height = h units,**

** The six faces of the cuboid are shown below -**

**1) There are two faces (top & bottom) each with area = l X b sq.units**

**2) There are two faces (front & back) each with area = l X h sq.units**

**3) There are two faces (right & left) each with area = b X h sq.units**

**The surface area of the cuboid **

**= sum of areas of all six faces**

** = 2 (lb + lh + bh) sq.units**

**Example.1) Let's say you have a rectangular box (cuboid) with the following dimensions:**

**Length (l) = 8 cm****Width (w) = 5 cm****Height (h) = 3 cm**

**Ans.)**

**To find the surface area of this cuboid, you would use the formula:**

**Surface Area = 2(lw + lh + wh)**

**Surface Area = 2 {(8 cm X 5 cm) + (8 cm X 3 cm) + (5 cm X 3 cm)}**

**Surface Area = 2(40 cm² + 24 cm² + 15 cm²)**

**Surface Area = 2 (79 cm²)**

**Surface Area = 158 cm²**

**So, the surface area of this cuboid is 158 square centimeters. (Ans.) **

**Example.2) Suppose you have a rectangular storage container with the following measurements:**

**Length (l) = 12 inches****Width (w) = 6 inches****Height (h) = 4 inches**

**Ans.)**

**To calculate the surface area, use the formula: **

**Surface Area = 2(lw + lh + wh)**

**Surface Area = 2 {(12 in X 6 in) + (12 in X 4 in) + (6 in X 4 in)}**

**Surface Area = 2 (72 in² + 48 in² + 24 in²)**

**Surface Area = 2 (144 in²)**

**Surface Area = 288 in²**

**The surface area of this rectangular storage container is 288 square inches. (Ans.)**