# college algebra

posted by .

a cub measures n inches on each edge. If a slice 1 inch thick is cut from one face of the cube and then a slice 3 inches thick is cut from another face of the cube, the resulting solid has a volume of 1560 cubic inches. Find the dimensions of the original cube.

• college algebra -

original side = n
slice = (1)n^2

is the 2nd slice from the other square face, or one of the four nx(n-1) faces?

Assuming the latter, lest the problem be too, too trivial, then the 2nd
slice = 3(n)(n-1)

n^3 - n^2 - 3n(n-1) = 1560
n^3 - 4n^2 + 3n - 1560 = 0
Hmmm. 1560 = 13*12*10
(n-13)(n^2 + 9n + 120)

so, n=13
original volume: 2197
1st slice: 13x13 = 169
2nd slice: 3x13x12 = 468
remaining: 1560

## Similar Questions

1. ### 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?
2. ### Algebra

A 3 inch thick slice is cut off the top of a cube, resulting in a rectangular box that has volume 128in^3 .Round your answer to two decimal places
3. ### Algebra & Trigonometry

A slice of thickness 1 cm is cut off from one side of a cube. If the volume of the remaining figure is 180 cubic centimeter, how ling is the edge of the original cube
4. ### Per Calculus

An apple pie has a 12 inch diameter and the angle of one slice is 60 degrees. What is the area of that slice of pie?
5. ### geometry

You and your friend ordered a 12 cut pizza with a radius of 8 inches. How much cheese is needed to cover one slice of the pizza?
6. ### math

The number of washers 3/32 inch thick that can be cut from a piece of stock 25 1/2 inches long, allowing 1/16 inch for waste for each cut is (A) 160 (B) 163 (C) 260 (D) 272 (E) 408 not just answer, please tell me how to do it
7. ### math

The number of washers 3/32 inch thick that can be cut from a piece of stock 25 1/2 inches long, allowing 1/16 inch for waste for each cut is a. 160 b. 163 c. 260 d. 272 e. 408 please answer and explain
8. ### algebra

A manufacturer of birds feeder cut spacers from a tube that is 7 1/5 inches long. How many spacers can be cut from the tube if each spacer must be 3/5 inch thick. The estimated answer is?
9. ### math

Janet bakes a cake in the shape of a cube with side length x (in inches). She makes a vertical cut parallel to one of the sides, resulting in a slice with width y where x is 5 times as large as y. a) Define a function h that determines …
10. ### Math

The number of washers 3/32 inch thick that can be cut from a piece of stock 25 1/2 inches long, allowing 1/16 inch for waste for each cut is A) 160 B) 163 C) 260 D) 272 E) 408 Pls help and explain x

More Similar Questions