he surface area of a cube is 1734 sq. cm. Find its volumeChoices:- 2334 cubic.cm 3356 cubic.cm 4913 cubic.cm 3478 cubic.cm
Question
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
Solution
The surface area of a cube is given by the formula 6s^2, where s is the length of a side.
Step 1: Solve for s Given that the surface area is 1734 sq. cm, we can set up the equation 6s^2 = 1734. Solving for s gives us s = sqrt(1734/6) = 17 cm.
Step 2: Find the volume The volume of a cube is given by the formula s^3. Substituting s = 17 cm into this formula gives us a volume of 17^3 = 4913 cubic cm.
So, the volume of the cube is 4913 cubic cm.
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