The edge of the cube was enlarged 3 times. How many times has its volume increased?

| September 9, 2021 | education

The edge of the cube was enlarged 3 times. How many times has its volume increased? If each edge of the pyramid is increased by 3 times, then how many times will its volume increase?

1) To solve this problem, recall the formula for the volume of a cube. The volume of a cube is equal to the cube of its edge. V = a ^ 3, a is an edge of a cube. Let’s increase the edge of the cube 3 times, we get – 3a, then the volume of the cube is:
V = (3a) ^ 3 = 3 * 3 * 3 * a ^ 3 = 27 * a ^ 3.
27a ^ 3 / a ^ 3 = 27
Answer: 27 times.
2) To solve this problem, recall the formula for the volume of the pyramid. The volume of the pyramid is equal to 1/3 of the product of the area of ​​its base by the height. A pyramid is a polyhedron, the base of which is a polygon, and the other faces are triangles with a common vertex. Since the edge of the pyramid does not appear in the calculation of the volume, and we also don’t know which figure lies at the base, we don’t know the height, we cannot calculate its volume.



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