Question

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

Please and Thank-you(:

Answer 1

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.