Sam's cold frame has a volume of 120 feet cubed. List all the possible dimensions of the cold frame. Use only whole numbers and use any combination of numbers once. For example, if you list 1ft*8ft*15ft, you may not list 1ft*15ft*8ft or 8ft*1ft*15ft, and so on. Try to find sixteen combinations.

List all the answers please.

  1. 👍 0
  2. 👎 0
  3. 👁 105
  1. Break 120 up into a product of prime numbers. Then break that list into as many combinations of three numbers as you can think of, using all of the numbers. Examples:
    120 = 1*2*2*2*3*5
    = 1*(2*2*2)*(3*5)= 1x8x15
    = 2*(2*2)*(3*5)= 2x4x15
    = 1*2*(2*2*3*5)=1x2x60
    = (2*2)(2*3)*5= 4x6x5
    = 2*(2*5)*(2*3)=2x10x6

    1. 👍 0
    2. 👎 0
    posted by drwls
  2. 120 = 2*2*2*3*5

    So we need triples of these that multiply to get 120, but we must not forget that 1 can also be used.
    So I went about it sort of systematically

    1,1,120 ----- only case with 2 ones
    1,10,12 --- to got more would repeat some




    Done, 16 of them

    1. 👍 0
    2. 👎 0
    posted by Reiny
  3. 4x + 10 -3x =2-3

    1. 👍 0
    2. 👎 0
    posted by sophia

Respond to this Question

First Name

Your Response

Similar Questions

  1. math

    A frame maker made a large picture using 10 feet of frame molding. If the length of the finished frame was 2 feet more than the width, then what were the dimensions of the frame.

    asked by Andrea B on June 13, 2012
  2. math

    Sam is going to tile a rectangular room that has an area of 64 square feet. He will be using square tiles that measure 1/4 square feet. If the dimensions of the sun room are to be whole numbers in feet, list all of the possible

    asked by Tyler on May 15, 2008
  3. Math

    PLEASE HELP ASAP!!! 1 rectangular prism has a base area of 120 square feet, a height of 12 feet per second and has dimensions of 84 inches, 6 feet, and 16 feet. Is the volume of the second more than or less than half that of the

    asked by Kim on September 27, 2015
  4. math

    Jeremy made 2 similar rectangular window frames. One frame is 3 feet wide and 8 feet long. What could be the dimensions of the other frame? Answer

    asked by Anonymous on January 18, 2011
  5. Algebra 0110 College

    1) A rectangle has perimeter 38 feet and an area of 78 square feet. Find the dimensions of the rectangle assuming the width is smaller than the length. L= W= 2) A rectangular canvas picture measures 9 inches by 7 inches. The

    asked by Quince on October 15, 2013
  6. Math

    A rectangular prism as a volume of 120 cubic feet. What are the dimensions of 2 different possible rectangular prisms with a volume of 120 cubic feet?

    asked by Toby on January 22, 2018
  7. math

    a container has volume 1m cubed the lenght of the container is 200cm. list all the possible dimensions of the container. each dimension is whole number of cm.

    asked by erick on February 22, 2011
  8. Geometry

    What is the volume of the triangular prism? Height: 12mm Base: 15mm Width:7mm 1) 34mm cubed 2) 187mm cubed 3) 630mm cubed 4) 1,260mm cubed

    asked by M&M on May 15, 2017
  9. Metric System

    I have two queations that have to do with the metric system: 1- What connections can you identify between the metric units for length and volume? 2- Why is it difficult to convert miles to yrads or feet? Thanks in advance for your

    asked by Olivia on August 18, 2005
  10. math

    The dimensions of a box are 20" by 30" by 4". The volume of the box is 2400 inches cubed. If each dimension is doubled the new volume would be the original volume times the: a)scale factor b)scale factor squared c)scale factor

    asked by Gunesh on February 11, 2010

More Similar Questions