# math

posted by .

An edge of a cube is increased by 10%. Find the percent by which the surface area o fa cube has increased?

• math -

let each side be x units
surface area = 6x^2

new edge = 1.1x
new surface area = 6(1.1x)^2 = 7.26x^2

increase = 1.26x^2

percentage increase = 1.26x^2/(6x^2) = 1.26/6 = .21
= 21%

we could have just looked at one of the 6 faces for the same result.

## Similar Questions

1. ### MATH!

If the edge of a cube is increased by 50%, then the volume is increased by x%. Find x. PLEASE HELP. THANK YOU. Let Y = edge of a cube. Y + 0.5Y = 1.5Y = new edge of the cube. Then old volume is Y^3 New volume is (1.5Y)^3 = 2.375Y^3. …
2. ### algebra

First: solve for k. Then, go back to the original equation c=k(d-3) and solve for c when d is ten. Second: Area=k*s^2 Put in the fist conditions, solve for k. Then, knowing k, solve for A when is eight. direct variation 1)if c varies …
3. ### geometry

if the length of each edge in a cube is increased by the same percent and the result was a cube that had 25% more volume than it originally had, by what percentage were the edges increased
4. ### math

If each edge of a cube is increased by 2 inches, the A. volume is increased by 8 cubic inches B. area of each face is increased by 4 square inches D. sum of the edges is increased by 24 inches
5. ### math

A cube with an edge length of 4 in is painted on all its sides. Then the cube is cut into 64 cubes with an edge length of 1 in. What percent of the total surface area is painted?
6. ### calculus

the surface area of a cube is increased from 24 square centimeters to 26.016 square centimeters . use differentials to determine: (1) by approximately how many centimeters does the side length of the cube increase?
7. ### Calculus

The volume of a cube is increased from 729 cubic centimetres to 849.285 cubic centimetres Use differentials to determine : (a) by approximately how many centimetres does the side length of the cube increase?
8. ### Math

If the edge of a cube is increase by 30% by how much is the surace area increased?
9. ### math

Find the total surface area of one of small cubes to that of the larger cube if a cube of edge 5cm is cut into cubes, each of edge 1cm.
10. ### math

Find the surface area of one of small cubes to that of the larger cube if a cube of edge 5cm is cut into cubes, each of edge 1cm.

More Similar Questions