Posted by **Ruth Joy** on Sunday, September 25, 2011 at 5:35pm.

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 -
**Steve**, Tuesday, September 27, 2011 at 5:35am
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.

## Answer This Question

## Related Questions

- college algebra - a cub measures n inches on each edge. If a slice 1 inch thick ...
- Pre-Calc - A slice 1 unit thickness is removed from one see of a cube. Use the ...
- math - Leah is two years old. She stacked cubes to make the figure shown. If one...
- math - Janet bakes a cake in the shape of a cube with side length x (in inches...
- Chemistry - You measure one edge of a cube using a meter stick marked in ...
- Chem (last question, I promise) - You measure one edge of a cube using a meter ...
- geometry - I've got a sizable chunk of delicious sharp cheddar. My block of ...
- geometry - You've got a sizable chunk of delicious sharp cheddar. Your block of...
- Algebra - A 3 inch thick slice is cut off the top of a cube, resulting in a ...
- math - A cube with edges of length 2 centimeters is buildt from centimeter cubes...

More Related Questions