The area of surface of a cube is 552.96 cm². Find the volume of the cube.
Given: surface area - 552.96
Step 1: Let the side of cube be a
The surface area of cube = 552.96 cm²
We know that total surface
area of cube is 6a²
So,
6a² = 552.96
a² = 552.96/6
a² = 55296/6×100
a² = 9216/100
a = √9216/100
a = 96/10
a = 9.6
Therefore, the surface area of cube is 9.6
So,
Volume of cube = a³
= (9.6)³
= 884.736cm³
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Answered by
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Answer:
The area of surface of a cube is 552.96 cm². Find the volume of the cube.
Given: surface area - 552.96
Step 1: Let the side of cube be a
The surface area of cube = 552.96 cm²
We know that total surface
area of cube is 6a²
So,
6a² = 552.96
a² = 552.96/6
a² = 55296/6×100
a² = 9216/100
a = √9216/100
a = 96/10
a = 9.6
Therefore, the surface area of cube is 9.6
So,
Volume of cube = a³
= (9.6)³
= 884.736cm³
Answered by
0
Step-by-step explanation:
The surface area of cube = 552.96 cm²
We know that total surface
area of cube is 6a²
So,
6a² = 552.96
a² = 552.96/6
a² = 55296/6×100
a² = 9216/100
a = √9216/100
a = 96/10
a = 9.6
Therefore, the surface area of cube is 9.6
So,
Volume of cube = a³
= (9.6)³
= 884.736cm³
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