The surface area of a cube is 1734 sq. cm. Find its volume.Choices:- 2334 cubic.cm 3356 cubic.cm 4913 cubic.cm 3478 cubic.cm

No answer

Sure, here are the steps to solve the problem:

Step 1: Understand that the surface area of a cube is given by the formula 6a^2, where a is the length of a side of the cube.

Step 2: Set up the equation 6a^2 = 1734 to find the length of a side of the cube.

Step 3: Solve for a. Divide both sides of the equation by 6 to get a^2 = 289.

Step 4: Take the square root of both sides to find that a = 17 cm.

Step 5: The volume of a cube is given by the formula a^3. Substitute 17 cm for a to find the volume.

Step 6: Calculate 17^3 = 4913 cubic cm.

So, the volume of the cube is 4913 cubic cm.