Algebra & Trigonometry

posted by .

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

  • Algebra & Trigonometry -

    If the original cube had side s, then the volume was s^3.

    A 1-inch slab has volume s^2.

    So, we know that s^3 - s^2 = 180
    s^3 - s^2 - 180 = 0
    Inspection reveals that s=6 is one answer. So, now we have

    (s-6)(s^2 + 5s + 30)

    The quadratic has no real roots, so s=6 is the only answer.

Respond to this Question

First Name
School Subject
Your Answer

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. algebra

    the cube root of the volume of a cube gives the length of one side of the cube. volume=343cm cubed a. find the side length of the cube shown b. find the area of each face of the cube i have no idea how to do this!
  3. 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 …
  4. Chemistry

    You measure one edge of a cube using a meter stick marked in centimeters. Unfortunately, the edge is longer than 1 m. You mark the 1-m point on the cube edge with a pen and then, using a 15-cm ruler marked in millimeters, measure the …
  5. Chem (last question, I promise)

    You measure one edge of a cube using a meter stick marked in centimeters. Unfortunately, the edge is longer than 1 m. You mark the 1-m point on the cube edge with a pen and then, using a 15-cm ruler marked in millimeters, measure the …
  6. college algebra

    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 …
  7. algebra

    After a 2 in. slice iscut off the top of a cube, the resulting solid has a volume of 32 in.2Find the dimensions of the original cube.
  8. 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 …
  9. math

    Leah is two years old. She stacked cubes to make the figure shown. If one cube has a length of one centimeter and volume of one cubic centimeter, what's the volume of Leah's figure
  10. Pre-Calc

    A slice 1 unit thickness is removed from one see of a cube. Use the rational zeroes theorem and synthetic division to find the original dimensions of the cube, if the remaining volume is 48 cm^3 v= x^3 v=x*x*x x=(x-1)*x*x 48=(x-1)*x*x

More Similar Questions