# Mensuration Class 8 Formulas

Mensuration is an important part of geometry in mathematics. This branch deals with the measure of length, volume, area of various solid and plane figures of geometry. Mensuration class 8 formulas are the formulas related to the perimeter and area of different geometric figures.

## List of Mensuration Class 8 Formulas

Here is a brief list of mensuration formulas that are commonly used to solve questions related to solid and plane figures.

- Area of Trapezium = height × (sum of parallel sides)/2
- Area of Rhombus = ½ × d
^{1}× d^{2}; where d^{1}× d^{2}are the two diagonals of the rhombus - Area of Special Quadrilateral = ½ × d × (h
^{1}+ h^{2}); where d is the diagonal, and h^{1}and h^{2}are the perpendiculars drawn on the diagonals from the vertices. - Surface area of Cuboid = 2(lb × bh × hl); where l, b and h represent the length, breadth and height of the cuboid.
- Surface area of Cube = 6a
^{2}; where a represents the side of the cube. - Surface area of cylinder = 2πr(r + h); where h represents the height and r represents the radius of the cylinder.
- Volume of Cuboid = l × b × h; where l, b and h represent the length, breadth and height of the cuboid.
- Volume of Cube = a
^{3}; where a represents the side of the cube. - Volume of cylinder = πr
^{2}h; where h represents the height and r represents the radius of the cylinder.

## Applications of Mensuration Class 8 Formulas

We are surrounded by various shapes and figures in our environment. There are several instances where we come across situations to compute the area, perimeter and volume of shapes. Let us see how mensuration class 8 formulas are applied in the real world.

- Mensuration class 8 formulas are applied in the measurement of agricultural fields and floor areas that are required for purchase/selling transactions.
- The length of the boundary of plots and fields can be calculated using the perimeter formulas.
- Measurement of liquids like packaged milk, oil, or solid edible food items can be done using the formulas given for volume.
- Mensuration formulas can be used to find the volumes and heights that are useful in knowing water levels and amounts in rivers or lakes.
- The surface area formulas in mensuration can be used to estimate the cost of painting houses, buildings etc. .

## Tips to Memorize Mensuration Class 8 Formulas

Mensuration class 8 formulas sometimes seem complex to remember due to the unclarity of terms associated with them. Therefore, here are some tips for students to memorize these formulas in much easier ways:

- Mensuration class 8 formulas deal with dimensions of 2-D objects like length, volume, shape, surface area, etc. The students must make sure to understand the meaning of these terms first before moving ahead to memorize the formulas. They can get help from teachers or their friends to get clarity on the same.
- Once they are clear with the terms, they can formulate a story around the formula, or weave the initials of the formula into some word of their choice so as to quickly picture it in front of them.
- Students can watch the formula visuals on their gadgets to ensure a quick revision whenever they use their mobile or laptop.
- Students should practice a complete set of problems and solved examples provided in the textbook. It will help students to maximize the usage of formulas in different contexts.

## Mensuration Class 8 Formulas Examples

**Example 1: **Calculate the height of a cuboid which has a base area of 180 cm^{2} and volume is 900 cm^{3}

**Solution:** We know that the formula for calculating the volume of cuboid = base area × height

Therefore, 900 cm^{3} = 180 cm^{2} × height

So, height of cuboid = 900/180 = 5 cm

**Example 2: **Find the surface area of a cube which has a side length of 5 units.

**Solution:**

Surface area of Cube = 6a^{2}; here a = 5

Substituting the value in the formula: Surface area of Cube = 6a^{2} = 6 × 52 = 6 × 25 = 150 square units.

Students can download the printable **Maths Formulas Class 8** sheet from below:

## FAQs On Mensuration Class 8 Formulas

### What are the Important Mensuration Class 8 Formulas?

A brief list of the important mensuration class 8 formulas are given below:

- Area of Trapezium = height × (sum of parallel sides)/2
- Area of Rhombus = ½ × d
^{1}× d^{2}; where d^{1}× d^{2}are the two diagonals of the rhombus - Area of Special Quadrilateral = ½ × d × (h
^{1}+ h^{2}); where d is the diagonal, and h^{1}and h^{2}are the perpendiculars drawn on the diagonals from the vertices. - Surface area of Cuboid = 2(lb × bh × hl); where l, b and h represent the length, breadth and height of the cuboid.
- Surface area of Cube = 6a
^{2}; where a represents the side of the cube. - Surface area of cylinder = 2πr(r + h); where h represents the height and r represents the radius of the cylinder.
- Volume of Cuboid = l × b × h; where l, b and h represent the length, breadth and height of the cuboid.
- Volume of Cube = a
^{3}; where a represents the side of the cube. - Volume of cylinder = πr
^{2}h; where h represents the height and r represents the radius of the cylinder.

### What are the Basic Formulas in Mensuration Class 8 Formulas?

The basic formulas in mensuration help the students learn about the area and perimeter of plane figures and volumes of curved surfaces. They also help implement a basic knowledge of the relationship between these quantities.

### What are the Important Formulas Covering Mensuration Class 8 Formulas?

Mensuration class 8 formulas refer to the calculation of various parameters of shapes like the perimeter, area, volume, etc. The most important formulas covered in the mensuration class 8 formulas are related to finding surface areas and volume of cube, cylinder, cuboid, Trapezium and rhombus.

### How Many Formulas are there in Mensuration Class 8 Maths?

There are around 8 formulas in mensuration class 8 formulas that can be remembered easily if the students follow the tips mentioned in this article on a consistent basis. The major formulas include calculating the area, volume, and perimeter of two-dimensional and three-dimensional shapes.

### How can I Memorize Mensuration Class 8 Formulas?

To memorize the mensuration class 8 formulas, students must assure that they have accurate knowledge of all the terms involved in these formulas. Once the students understand the mathematical vocabulary related to mensuration class 8 formulas, they can connect some phrases to the formula's initials to memorize it fast. Practicing all the textbook's solved examples will provide the most comprehensive coverage on formula usage in various contexts.

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