# Algebra 2

posted by .

i actually have two questions.

- the edge of one cube is 4 m shorter than the edge of a second cube. the volumes of the two cubes differ by 1216m^3. find the edge of the smaller cube.

- the sum of the squares of the two larger of three consecutive even integers is 12 less than 4 times the square of the smaller one. find the intergers

• Algebra 2 -

1. Let x = side of the smaller cube and x+4 = side of other. Then

(x+4)^3 - (x^3) = 1216

Solve for x.

2. If x = smallest even integer, x+2 = next and x+4 = largest

(x+2)^2 + (x+4)^2 = 4x^2 - 12

Solve for x.

## Similar Questions

1. ### math

A cube with edges of length 2 centimeters is buildt from centimeter cubes. If you paint the faces of this cube and then break it into centimeter cubes, how many cubes wil be painted on three faces?
2. ### Bio

Please Check my work and help me to answer the questions i could not get. Measure the cube that you are given. Complete the chart on the next page for your cube, then fill in the spaces for two other cubes, one measuring 1 cm on an …
3. ### Math

The entire surface of a solid cube with a length of 6 inches is painted. The cube is then cut into cubes each with edge of length 1 inch. How many smaller cubes are there?
4. ### math (algebra honors)

The edge of one cube is 2 cm shorter than the edge of a second cube. The volumes of the two cubes differ by 386 cm^3. Find the edge of the smaller cube using factoring.
5. ### Algebra

The edge of one cube is 5cm shorter than the edge of a second cube. The volumes of the two cubes differ by 875cm^3. Find the edge of the smaller cube.
6. ### math (algebra honors)

the edge of one cube is 2 cm shorter than the edge of a second cube. The volumes of the two cubes differ by 386cm^3. Find the edge of the smaller cube.
7. ### maths

A solid cube with an edge 10 cm is melted to from two equal cubes. Find the ratio of the edge of the smaller cube to the edge of the bigger cube ?
8. ### maths

A solid cube with an edge 10 cm is melted to from two equal cubes. Find the ratio of the edge of the smaller cube to the edge of the bigger cube ?
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