One more cube was glued to each face of the V = 8 cm3 cube. Find the surface area of the resulting structure.
| July 1, 2021 | education
A cube whose volume is 8 cm³ has an edge equal to 2 cm. The surface area of a cube is equal to the length of the cube’s edge squared multiplied by 6.
S = 2 cm * 2 cm * 6 = 24 cm².
The cube has 6 faces, the same cube was glued to each face of the cube, which means that 6 such cubes were glued. To find the surface area of the resulting figure, you need to multiply the surface area of one cube by 6 and subtract 1 surface area of the cube.
24 cm² * 6 – 24 cm² = 120 cm².
Answer: 120 cm².
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