Math

the volume of a rectangular prism is 256 cubic centimeters. What is the volume of a similar rectangular prism that has edge lengths one fourth as long as the edge lengths of the original prism?

  1. 👍 0
  2. 👎 0
  3. 👁 66
asked by Joe
  1. dimensions were a,b,c, volume was v = a*b*c

    new volume is (a/4)(b/4)(c/4) = abc/64 = v/64

    if edges are scaled by f,
    area is scaled by f^2
    volume is scaled by f^3

    1. 👍 0
    2. 👎 0
    posted by Steve

Respond to this Question

First Name

Your Response

Similar Questions

  1. math

    The volume of a rectangular prism can be computed using the formula V = lwh. What is the width of a prism that has a volume of 1664 cubic centimeters, a length of 16 centimeters, and a height of 8 centimeters? 11 cm 26 cm 768 cm

    asked by nour on February 1, 2019
  2. HELPP

    The volume of a rectangular prism can be computed using the formula V = lwh. What is the width of a prism that has a volume of 1664 cubic centimeters, a length of 16 centimeters, and a height of 8 centimeters? A. 11 cm B. 13 cm C.

    asked by Matt on April 7, 2015
  3. Geometry

    A rectangular prism has a volume of 54 cubic centimeters. If the length, width, and height are all changed to 1/3 of their original size, what will be the volume of the new rectangular prism?

    asked by Mike on April 13, 2010
  4. math

    a rengular prism is made of 1-centimeter cubes. the volume of the rectangular prism i 60 cubic centimeters. which set of dimensionscould describe the rectangular prism?

    asked by annonymous on November 3, 2010
  5. geometry

    a rectangular prism has a volume of 132 cubic centimeters . the length of the base is 4 centimeters and the widtyh of the base is 3 centimeters, what is the height of the prism?

    asked by steph on January 12, 2011
  6. math

    A rectangular prism has a volume of 162 cubic centimeters. If the length, width, and height are reduced to 1/3 of their original size what will the new volume be

    asked by john on December 11, 2016
  7. math

    A rectangular prism has a volume of 162 cubic centimeters. If the length, width, and height are reduced to 1/3 of their original size what will the new volume be?

    asked by john on December 11, 2016
  8. Geometry

    The volume of a rectangular prism is 960 cubic inches. If the dimensions of the base are doubled and the height remains the same to create a new prism, what will be the volume of the new rectangular prism in cubic inches?

    asked by Jeffrey on July 19, 2015
  9. 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?

    asked by Jonah on May 17, 2013
  10. math

    the volume of a prism is 48 cubic centimeters. the area of the base of the prism is 8 square centimeters. what is the height of the prism? draw a picture

    asked by claude on January 26, 2012

More Similar Questions