Find the unfolded area of a cube if its volume is 1 whole 61/64 m3.
| August 25, 2021 | education
The sweep area of the cube will be equal to its surface area.
Since a cube has 6 faces, its surface area is S = 6 * a², where a is the edge of the cube.
The volume of the cube is V = a³. By the condition of the problem, V = 1 61/64 = 125/64, which means
a = ³√ 125/64 = 5/4.
Thus, the unfolded area of this cube will be equal to:
S = 6 * (5/4) ² = 6 * 25/16 = 150/16 = 9 6/16 = 9 3/8 m2.
One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.
