I'm sorry, but there seems to be a mistake in your question. The surface area of a cube is measured in square units (cm²), not cubic units (cm³). The volume of a cube, on the other hand, is measured in cubic units.
To find the volume of a cube, you can use the formula V = a³, where "V" represents the volume and "a" represents the length of one side (also known as the edge) of the cube.
Since you provided the surface area of the cube as 2197 cm², we'll need to first calculate the length of one side (a) using the formula for surface area: A = 6a².
Let's solve for "a" first:
2197 = 6a²
Divide both sides by 6:
366.17 = a²
Take the square root of both sides to find "a":
a ≈ 19.14 cm
Now that we know the length of one side (a), we can find the volume using the formula V = a³:
V ≈ (19.14 cm)³
V≈ 6938.77 cm³
So, the volume of the cube is approximately 6938.77 cubic centimeters.
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Answer:
I'm sorry, but there seems to be a mistake in your question. The surface area of a cube is measured in square units (cm²), not cubic units (cm³). The volume of a cube, on the other hand, is measured in cubic units.
To find the volume of a cube, you can use the formula V = a³, where "V" represents the volume and "a" represents the length of one side (also known as the edge) of the cube.
Since you provided the surface area of the cube as 2197 cm², we'll need to first calculate the length of one side (a) using the formula for surface area: A = 6a².
Let's solve for "a" first:
2197 = 6a²
Divide both sides by 6:
366.17 = a²
Take the square root of both sides to find "a":
a ≈ 19.14 cm
Now that we know the length of one side (a), we can find the volume using the formula V = a³:
V ≈ (19.14 cm)³
V≈ 6938.77 cm³
So, the volume of the cube is approximately 6938.77 cubic centimeters.
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Answer:
676 cm is the right answer