The surface area of a shape is the amount of space on the shape
When the dimensions are quadrupled, the new surface area would be 16 times the initial surface area
<h3>How to determine the surface area</h3>The surface area of a rectangular prism is:
When quadrupled, we have:
Factor out 16
Substitute
The above means that:
The new surface area would be 16 times the initial surface area
Read more about surface areas at:
Given:
The ratio of the measures of the sides of a triangle is 3:4:5.
Its perimeter is 48 inches.
To find:
The scale factor as a decimal, and the measure of each side of the triangle.
Solution:
Let x be the scale factor. Then the measures of sides of the triangle are 3x, 4x and 5x.
The perimeter of the triangle is 48 inches. It means the sum of all sides of the triangle is 48 inches.
Divide both sides by 12.
Now, the measures of sides are:
Similarly,
And,
Therefore, the scale factor is 4 and the measures of sides are 12, 16 and 20.