What is a Like Fraction and the LSA of a Cuboid?

Let's explore two important math concepts: Like Fractions (from basic arithmetic) and the Lateral Surface Area of a Cuboid (from 3D Geometry).

Question (Click to Flip)

What are like fractions? Give an example.

Answer

Like fractions are a group of fractions that have the exact same denominator. For example, 2/7, 4/7, and 5/7 are like fractions.

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Key Facts

Like Fractions: Fractions with the same denominator (e.g., 2/5 and 4/5).

Unlike Fractions: Fractions with different denominators (e.g., 1/3 and 1/4).

LSA of Cuboid: Area of the 4 walls = 2h(l + b).

TSA of Cuboid: Total Surface Area (all 6 faces) = 2(lb + bh + hl).

1. What is a Like Fraction?

In mathematics, fractions that have the exact same denominator (the bottom number) are called Like Fractions.

Why does it matter? Having the same denominator means the 'whole' is divided into the same number of equal parts. This makes it incredibly easy to add or subtract them; you only need to add/subtract the top numbers (numerators).
Example: 1/8, 3/8, and 5/8 are all Like Fractions because they share the denominator '8'.

2. LSA of a Cuboid

A cuboid is a 3D box shape (like a brick or a shoebox).

LSA Meaning: The Lateral Surface Area (LSA) refers to the total area of only the four side walls of the cuboid. It excludes the area of the top ceiling and the bottom floor.
The Formula: The formula to calculate the LSA of a cuboid is: LSA = 2h(l + b) (Where 'h' is the height, 'l' is the length, and 'b' is the breadth).

Questions and Answers

What are like fractions? Give an example.+

Like fractions are a group of fractions that have the exact same denominator. For example, 2/7, 4/7, and 5/7 are like fractions.

What is the formula for the LSA of a cuboid?+

The formula for the Lateral Surface Area (LSA) of a cuboid is 2h(l + b), where h is height, l is length, and b is breadth.

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