The volume of the following cube is 4,096 mm³. Determine the surface area of the cube.

Question

AvaCharlotteMiller · Answer

To determine the surface area of a cube when you know its volume, you can follow these steps: 
 
 Understand the Volume of a Cube: The formula to calculate the volume ( V ) of a cube is: V = a 3 where a is the length of one side of the cube. 
 
 Given Volume: The volume given is 4,096 mm³. 
 
 Find the Side Length: Since V = 4 , 096 , you can find a by taking the cube root of 4,096: a = 3 4 , 096 ​ Calculating this gives: a = 16 mm 
 
 Calculate the Surface Area: The formula for the surface area ( S ) of a cube is: S = 6 a 2 Substituting a = 16 mm into the formula gives: S = 6 × ( 16 ) 2 S = 6 × 256 S = 1 , 536 mm 2

Therefore, the surface area of the cube is 1,536 mm².

The volume of the following cube is 4,096 mm³. Determine the surface area of the cube.

Answer (1)

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