algebra

posted by .

Decreasing cube. Each of the three dimensions of a
cube with sides of length s centimeters is decreased by a
whole number of centimeters. The new volume in cubic
centimeters is given by
V(s) = s3 - 13s2 + 54s -72.
a) Find V(10).
b) If the new width is s - 6 centimeters, then what are the
new length and height?
c) Find the volume when s = 10 by multiplying the
length, width, and height

• algebra -

a) use 10 for s.
V(10) = 10^3 - 13(10)^2 + 54(10) - 72
V(10) = 1000 - 1300 + 540 - 72
V(10) = 168

b) Divide V(s) by (s-6)
Using synthetic division:
6| 1 |-13 | 54 | -72
| 0 | 6 | -42 | 72
_____________________
| 1 | -7 | 12 | 0

So, the new length and height can be found by s^2 -7s + 12.

That can factored into (s-3)(s-4)

V(s) = (s-6)(s-3)(s-4)

Similar Questions

1. Algebra II

Each of the three dimensions of a cube with sides of length s centimeters is decreased by a whole number of centimeters. The new volume in cubic centimeters is given by V(s) _ s3 _ 13s2 _ 54s _ 72. a) Find V(10). b) If the new width …
2. Algebra

Decreasing cube. Each of the three dimensions of a cube with sides of length s centimeters is decreased by a whole number of centimeters. The new volume in cubic centimeters is given by V(s) equals s power of 3 - 13s power of 2 + …
3. Math

Each of the three dimensions of a cube with sides of lenth s centimeters is decreased by a whole numer of centimeters. The new volume is cubic centimeters is given by V(s)=s^3-13s^2+54s-72. a) Find V(10) b) If the new width is s-6 …
4. geometery

bases are isosceles triangles with parallel sides that measure 15 centimeters and 25 centimeters. the distance between the parallel sides is 12 centimeters and the length of each of the equal sides is 13 centimeters. the height of …
5. algebra

Given a cube with volume 30 cubic centimeters, find the number of centimeters in the length of an edge.
6. 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 …
7. 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 …
8. Algebra

The volume of a rectangular solid is 250 cubic centimeters. If its length is tripled, its width is halved, and its height is quadrupled, what is the new volume, in cubic centimeters?
9. calculus

the surface area of a cube is increased from 24 square centimeters to 26.016 square centimeters . use differentials to determine: (1) by approximately how many centimeters does the side length of the cube increase?
10. science

7th Grade Sarah heated two cubes of aluminum to 50oC. Cube A has a volume of four cubic centimeters. Cube B has a volume of two cubic centimeters. If the cubes do not touch each other, which of these statements is true?

More Similar Questions