Question

if each edge of a cube is tripled how many times it's surface area increases​

Answer 1

Answer:

Explanation:

If the edge of the cube is tripled surface area of the cube increases by 9 times. If the edge of the cube is tripled volume of the cube is increases by 27 times.

Answer 2

Given:

A cube

To find:

The increase in surface area

Solution:

The surface area increases 9 times.

Let the cube's edge be A.

So, the area of the surface of the cube will become equal to the areas of each side's sum.

The cube's surface area=6×$A^{2}$

Now, the edge of this cube is tripled.

The new edge=3A

Now, the area becomes=6×$(3A)^{2}$

=6(9)$A^{2}$

=54 $A^{2}$

We will divide the new surface area by the original area of the cube to determine the increase.

=54$A^{2}$/6$A^{2}$

=9

The area has increased 9 times.

Thus, the surface area increases 9 times.