find the volume of a cube whose surface area is 600 cm
yash821:
6a^2=600. a^2=600/100. a=10. v=10^3. v1000
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Given,
The surface area of a cube = 600 cm^2
To find,
The volume of a cube.
Solution,
We can simply solve this mathematical problem using the following process:
Let us assume that the length of each side of the cube is x centimeters.
As per mensuration;
For a cube having each side of length equal to a units,
The surface area of the cube = 6a^2 square units
The volume of the cube = a^3 cubic units
Now, according to the question;
The surface area of a cube = 600 cm^2
=> 6x^2 square units = 600 cm^2
=> x^2 = 100 = (10)^2
=> x = 10 cm
Now, the volume of the cube
= x^3 cm^3
= (10)^3 cm^3
= 1000 cm^3
Hence, the volume of the cube is equal to 1000 cm^3.
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