Determine the length of the edge of the cube if the volume of the cube is 125 dm³. The edge of the cube is equal to.
| March 10, 2021 | education
The volume of the cube is calculated by the formula:
V = a x a x a = a3, where V is the volume of the cube and a is the edge of the cube.
From this formula, we derive a new formula – a formula for calculating the length of the edge of a cube:
a = ∛V.
We calculate the length of the edge of the cube:
a = ∛125 = 5 (dm).
Let us express the length of the edge of the cube in centimeters and meters.
1 dm = 10 cm.
5 dm = x cm.
x = 5 dm x 10 cm / 1 dm.
x = 50 cm.
1 m = 10 dm.
y m = 5 dm.
y = 1 mx 5 dm / 10 dm.
y = 0.5 m.
Answer: the length of the edge of the cube is 5 dm; 50 cm; 0.5 m.
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.
