The total surface area of a cube is 294 cm². Work out the volume of the cube. Optional working Answer 7/45 cm³ +
The total surface area of a cube is 294 cm².
Work out the volume of the cube.
Optional working
Answer
7/45
cm³
+
To find the volume of the cube, we need to know the length of one side of the cube. However, since it is not provided in the question, we cannot calculate the exact volume.
We can use a formula to relate the volume of the cube to its surface area. The formula is:
Surface Area = 6 * (side)^2
Given that the surface area of the cube is 294 cm², we can set up the equation:
294 = 6 * (side)^2
Divide both sides of the equation by 6:
49 = (side)^2
Take the square root of both sides:
side = √49
side = 7 cm
Now that we know the length of one side of the cube is 7 cm, we can calculate the volume using the formula:
Volume = side^3
Volume = 7^3
Volume = 343 cm³
Therefore, the volume of the cube is 343 cm³.
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The volume of the cube is 343cm squared 3
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