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Cubic Feet to Cubic Centimeters Conversion (ft³ to cm³)

Last Updated : 10 Jan, 2024
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A cubic foot and a cubic centimeter are units used to measure a unit volume. The volume of a three-dimensional object or shape is referred to as the space enclosed by it. For instance, let us consider that a cubical-shaped container is filled with sand. To find the amount of sand filled in the container, we need to calculate the volume of the container. The volume of any three-dimensional object is measured in terms of cubic units. Depending upon the given units it can be expressed as m3, cm3, in3, ft3, etc. However, a cubic meter (m3) is considered to be the SI unit of volume. 

A cubic foot is a unit of measurement of the volume of a cube that has a length of one foot on each side. It is a unit to measure a unit volume, which is mostly used in the United States’ customary and imperial systems of measurement and is symbolically represented as ft3. We can write 1 cubic foot as 1 cu. ft. or 1 ft3, whose capacity is about 28.3168 L. A cubic foot’s volume in gallons is given by 1 cubic foot is equivalent to 7.48052 US liquid gallons.

A cubic centimeter is a unit of measurement of the volume of a cube that has a length of one centimeter on each side. It is a unit to measure a unit volume, which is generally used for the measurement of smaller volumes and is symbolically represented as cm3. We can write 1 cubic centimeter as 1 cu. cm. or 1 cm3

How to Convert Cubic Foot To Cubic Centimeter?

The value of 1 cubic foot is approximately equal to 28316.85 cubic centimeters. So, to convert cubic feet to cubic meters, we have to multiply the given foot value by 28316.85 cubic centimeters.

For instance, 

To convert 15 cubic feet into cubic centimeters, multiply 15 by 28316.85 cubic centimeters, i.e., 

15 cubic feet  = 15 × 28316.85 cubic centimeters

15 cubic feet = 42475.275 cubic centimeters.

Therefore, 15 cubic feet is approximately equal to 42475.275 cubic centimeters.

Conversion table

The conversion of the cubic foot to cubic meters for certain values is given below:

 Cubic foot 

(ft3)

 Cubic centimeter

(cm3

0.01

283.1685‬

0.1

2831.685‬

1

28316.85‬

2

56633.7

3

84950.55

4

113267.4‬

5

141584.25

10

283168.5‬

20

566337

50

1415842.5‬

100

283168.5

Sample Questions

Question 1: Write the relation between the cubic feet and cubic centimeters.

Solution:

Cubic meters and cubic feet are the units of volume of a three-dimensional object.

1 cubic foot ≈ 28316.85 cubic centimeters 

(or) 

1 cubic centimeter = 0.00003531466247 cubic feet.

Question 2: Convert 5 cubic feet to cubic centimeters.

Solution:

We know that

1 cubic foot ≈ 28316.85 cubic centimeters.

Hence,

5 cubic foot  = 5 × 28316.85 cubic centimeters

5 ft3= 141584.25‬ cm3.

Therefore, 5 cubic feet is approximately equal to 141584.25 cubic centimeters.

Question 3: Convert 0.73 cubic feet to cubic centimeters.

Solution:

We know that

1 cubic foot ≈ 28316.85 cubic centimeters.

Hence,

0.73 ft3  = 0.73 × 28316.85 cm3

0.73 ft3= 20671.3005‬‬ cm3.

Therefore, 0.73 cubic feet is approximately equal to 0.0206713005‬ cubic centimeters.

Question 4: Convert 35 cubic feet to cubic centimeters.

Solution:

We know that

1 cubic foot ≈ 28316.85 cubic centimeters.

Hence,

35 ft3  = 35 × 28316.85 cm3

35 ft3= 991089.75‬‬‬ cm3.

Therefore, 35 cubic feet is approximately equal to 991089.75‬‬ cubic centimeters.

Question 5: Find the volume of a room having dimensions of 6 ft × 8 ft × 10 ft and convert the cubic feet to cubic centimeters.

Solution:

Given,

Dimensions of a room are 6 ft, 8 ft, and 10 ft.

Now, the volume of the room (V) = l × b × h

V = 6 × 8 × 10 = 480 cu. ft.

We know that

1 cubic foot ≈ 28316.85 cubic centimeters.

Hence,

480 ft3  = 480 × 28316.85 cm3

480 ft3= 13592088‬‬‬‬ cm3.

Therefore, 480 cubic feet is approximately equal to 13592088 cubic centimeters.

Question 6: Convert 128 cubic feet to cubic centimeters.

Solution:

We know that

1 cubic foot ≈ 28316.85 cubic centimeters.

Hence,

128 ft3  = 128 × 28316.85 cm3

128 ft3= 3624556.8‬‬‬ cm3.

Therefore, 128 cubic feet is approximately equal to 3624556.8‬‬ cubic centimeters.

Question 7: Convert 74 cubic feet to cubic meters.

Solution:

We know that

1 cubic foot ≈ 28316.85 cubic centimeters.

Hence,

74 ft3  = 74 × 28316.85 cm3

74 ft3= 2095446.9 cm3.

Therefore, 74 cubic feet is approximately equal to 2095446.9‬‬ cubic centimeters.



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