A 4 × 4 × 4 solid cube is built from unit cubes. A rectangular tunnel of size 2 × 2 × 4 unit cubes is drilled completely through the cube from the front face to the back face. How many unit cubes remain in the solid?
Show Worked Solution
Worked Solution
Step 1: Total unit cubes in the 4 × 4 × 4 solid.
4 × 4 × 4 = 64 unit cubes
Step 2: Volume of the tunnel.
2 × 2 × 4 = 16 unit cubes
Step 3: Remaining unit cubes.
64 − 16 = 48
Correct answer: 48
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