maths

A box of height 8cm has a volume of 320cm cube.What is the volume of a similar box of height 6cm

  1. 👍 0
  2. 👎 0
  3. 👁 62
  1. 320*6=1920

    1920/8=240cm^3

    1. 👍 0
    2. 👎 0
    posted by Jackie
  2. The volume of 2 similar objects is proportional to the cube of its linear sides

    320/x = 8^3/6^3
    512x = 69120
    x = 69120/512 = 135

    or

    the side ratio is 6/8 = 3/4

    old volume = 8(l)(w) = 320
    lw = 40

    new volume = 6(3l/4)(3w/4) = 54/16 lw
    = (54/16)(40)
    = 135

    1. 👍 0
    2. 👎 0
    posted by Reiny

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math

    The side length,s, of a cube is related to its volume, v, by the formula s=v^1/3. A cube box when filled with materials has a volume of 729 cm2. What is the side lenth of the cube box used? Please help me step by step with this. I

    asked by Andre on November 18, 2010
  2. Math

    The side length,s, of a cube is related to its volume, v, by the formula s=v^1/3. A cube box when filled with materials has a volume of 729 cm2. What is the side lenth of the cube box used? Please help me step by step with this. I

    asked by Andre on November 20, 2010
  3. math

    The volume of a box is the number of cubes it would take to fill it up. If each cube is a centimeter on the edges, the volume would be given in cubic centimeters. What is the volume of the 4cm x 4cm x 6cm box to the right?

    asked by Anonymous on January 17, 2010
  4. Factoring Polynomials

    Ok, this is pretty long, so bear with me. The problem says: The diagram (not shown here, sorry) shows a cube of metal with a cylinder cut out of it. The formula for the volume of a cylinder is V=pi*r^2*h, where r is the radius and

    asked by Emily on January 10, 2007
  5. calculus

    An open box of maximum volume is to be made from a square piece of cardboard, 24 inches on each side, by cutting equal squares from the corners and turning up the sides to make the box. (a) Express the volume V of the box as a

    asked by Anonymous on March 27, 2011
  6. PreCal

    A square sheet of cardboard 18 inches is made into an open box (there is no top), by cutting squares of equal size out of each corner and folding up the sides. Find the dimensions of the box with the maximun volume. Volume=

    asked by Chau on November 6, 2006
  7. calculus

    A candy company needs a custom box for their truffles. The box they've chose is in the shape of a cylinder with a hemisphere of the same radius on top. The total volume of the box is V= (1/2) ((4pir^2)/(3))+ pir^2 (y-r), where y

    asked by Equihua on January 4, 2013
  8. Factoring Polynomials (need HELP!!!)

    Ok, this is pretty long, so bear with me. The problem says: The diagram (not shown here, sorry) shows a cube of metal with a cylinder cut out of it. The formula for the volume of a cylinder is V=pi*r^2*h, where r is the radius and

    asked by Emily on January 10, 2007
  9. Math - Cubes

    Consider a cube of side 100cm. Consider two diaganolly opposite points (the main body diagnol) as A and B. The cube is kept flat on the ground, and is filled with water upto a 40cm height. Now, the cube is tilted such that AB is

    asked by Arora on December 29, 2017
  10. Physics

    A charge of uniform volume density (40nC/m^3) fills a cube with 8cm edges. What is the net flux through the surface of the cube?

    asked by John on February 10, 2011

More Similar Questions