2025 AMC 8 Problem 8

Attempt Problem 8 of the 2025 AMC 8 below, then check your answer against the video solution and professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2025 AMC 8 solutions, or check the answer key.

All problems are used with official legal permission of the Mathematical Association of America (MAA).

8.

Isaiah cuts open a cardboard cube along some of its edges to form the flat shape shown, which has an area of 1818 square centimeters. What was the volume of the cube in cubic centimeters?
333\sqrt{3}
66
99
636\sqrt{3}
939\sqrt{3}
Answer: A
Concepts:net (3D geometry)surface areavolume
Small hint:
A cube net has 66 congruent square faces
Big hint:
Divide the net area by 66 to get one face area
Video solution:
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Written solution:
There are 66 squares, so each has area 18÷6=3.18 \div 6 = 3. Then the side length of the cube is 3.\sqrt{3}. The volume is 3×3×3=33,\sqrt{3} \times \sqrt{3} \times \sqrt{3} = 3\sqrt{3}, which is choice A.
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