the volume of a cube is 64cm cube find the TSA of the cube
v = s^3 = 64cm^3, so s = 4cm
a = 6s^2 = 6*16 = 96 cm^2
To find the Total Surface Area (TSA) of a cube, you need to know its volume. However, in this case, you have been given the volume of the cube as 64 cm^3. We can use this volume to find the length of one side of the cube and then use that length to calculate the TSA. Here's how you can do it:
1. Start with the formula for the volume of a cube: Volume = s^3, where s is the length of one side of the cube.
2. Since the given volume is 64 cm^3, we can set up the equation: 64 = s^3.
3. Take the cube root of both sides of the equation to solve for s: ∛64 = ∛(s^3).
The cube root of 64 is 4, so we have: s = 4.
4. Now that we know the length of one side of the cube is 4 cm, we can calculate the TSA.
The TSA of a cube is given by the formula: TSA = 6s^2, where s is the length of one side.
Substituting the value we found for s, the formula becomes: TSA = 6(4^2).
Simplifying further, we have: TSA = 6 * 16 = 96 cm^2.
Therefore, the Total Surface Area of the given cube is 96 cm^2.