Find the volume of the cube if the perimeter of its face is: 1) 16cm 2) 12dm

Let’s solve tasks by actions with explanations.
a. 1) 16: 4 = 4 centimeters – the lengths of the edges of the cube, since the perimeter of its face is 16 centimeters, and in the cube all the edges are equal to each other;
2) 4 ^ 3 = 4 * 4 * 4 = 16 * 4 = 64 cubic centimeters – the volume of a cube with an edge of 4 centimeters.
Answer: 64 cubic centimeters;
b. 1) 12: 4 = 3 decimetres – the lengths of the edges of the cube, since the perimeter of its face is 12 decimeters, and in the cube all the edges are equal to each other;
2) 3 ^ 3 = 3 * 3 * 3 = 9 * 4 = 36 cubic decimeters – the volume of a cube with an edge of 3 decimeters.
Answer: 36 cubic decimeters.



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