Finding Volume in Math

Finding volume in math article deals with the definition of volume and the formula for the various shapes and the model problems related to volume of various shapes.

Looking out for more help on Units of Volume in algebra by visiting listed websites.

Definition of Volume:

Volume is always measured in cube.units. It is defined as the space that is occupied by the entire three-dimensional shape.

Volume formula for various shapes in math.

Volume of the cube is a3 cubic units

Here “a” is the side of the cube.

Volume of the rectangular prism is L*B*H cubic units

Here L is length, B is breadth and H is the height.

Volume of the cylinder is BH cubic units

Here B is the base area and H is the height

Volume of the pyramid is `(1/3)` BH cubic units.

Here B is the base area and H is the height

Volume of the cone is `(1/3) ` BH cubic units.

Here B is the base area and H is the height

Model problem for finding volume in math.

Problem:

1.  Finding volume of the cube when the side measures about 5 cm in length.

Solution:

Since it is a cube, the formula

Volume of the cube is a3 cubic units

Here “a” is the side of the cube.

Here a= 5cm

The volume of the cube =53

=125 cm3

The volume of the cube is125cm3

2. Finding volume of the rectangular prism when the length = 8cm, breadth = 5cm and the height is 4cm.

Solution:

Since it is a rectangular prism, the formula

Volume of the rectangular prism is L*B*H cubic units

Here L is length, B is breadth and H is the height
L= 8cm

B= 5cm

H = 4cm

Volume of the rectangular prism = (8* 5*4) cubic units.

= 160 cm3

Volume of the trectangular prism is 160cm3

3. Find the volume of the cylinder whose base area is 46m^2 and the height of the cylinder is 10m

Solution:

Base area of the cylinder is 46m2

Height of the cylinder is 10m

Formula:

Volume of the cylinder is BH cubic units

Here B is the base area and H is the height

= 46*10

= 460 m3

the volume of the cylinder is 460m3

LENGTH OF MEASURING SYSTEM

The unit of length is meter. In length of measuring system length can be measured by using various terms such as millimeter, centimeter, decimeter, meter, decameter, hectometer and kilometer.

Some of the length of measuring system

10 millimeter is equal to 1 centimeter

10 centimeter is equal to 1 decimeter

10 decimeter is equal to 1 meter

10 meter is equal to 1 decameter

10 decameter is equal to 1 hectometer

10 hectometer is equal to 1 kilometer

By knowing these values we can convert the measures of the length.

Similarly some other important conversions of length of measuring system is

1000 millimeter is equal to 1 meter

1000 meter is equal to 1 kilometer

Similarly inches, feet, yards and miles are also the measurements of length of measuring system.

CONVERSION TABLES OF LENGTH OF MEASURING SYSTEM

1 feet is equal to 12 inches

1 yard is equal to 36 inches

1 yard is equal to 3 feet

1 mile is equal to 5280 feet

We have to divide when converting a larger unit and similarly when we have to convert a smaller unit we have to multiply it.

EXAMPLES ON LENGTH OF MEASURING SYSTEM

Example 1: Convert 5000 meters to kilometer

Solution

We know that 1000 meter = 1 kilometer

So

5000 meter = 5000/1000 = 5 kilometer



Example 2: How many centimeters equal to 450 meter?

Solution:

1 meter = 100 centimeter
so

450 meter = 450 * 100

= 450000 centimeter

Example 3: Convert 6 feet to yards and inches

Solution

We know that 1 feet = 12 inches

3 feet = 1 yard

So

6 feet = 6/3 = 2 yards

6 feet = 6 * 12 = 72 inches

Example 4: Convert 5 miles into feet’s

Solution

1 mile = 5280 feet

So 5 miles = 5 * 5280

= 26400 feet’s.

PROBLEMS ON LENGTH OF MEASURING SYSTEM

Convert 5 feet to inches

Convert 20 yards into feet

Convert 100 meter to millimeter

Convert 52 kilometer to decameter

Convert 3 kilometer to millimeter

Answers:

60 inches

60 feets

100000 mm

5200 decameter

3000000 mm