The areas of the faces of a rectangle box are 48 m2, 96 m2, and 288 m2. A second box is cubical and each of its faces has area 16m2. Find the ratio of the volume of the first box to the volume of the second box.

  1. 👍
  2. 👎
  3. 👁
  1. how about letting the 3 lengths of the first cube be a, b, and c
    ab = 288
    ac = 96
    bc = 48

    from that you could do stuff like
    ab/(ac) = 288/96
    b/c = 3
    b = 3c

    using other variations, and subbing back, I found
    a = 24
    b = 12
    c = 4 (the side areas check out)

    so the volume of the first is .....

    I am sure you can finish it.

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. science

    Where would a park ranger most likely tell hikers and campers not to build a campfire? A. in areas where there are clouds and rain is falling B. in areas with cold temperatures and frozen ground C. in areas with high winds and

  2. math

    Square of a side x are cut from each corner of an 8 inches * 5 inches rectangle, so that its sides can be folded to make a box with no top. Define a function that can represent the volume of this box.

  3. Math

    Squares of side a are cut from each corner of a 8 in x6 in rectangle, so that its sides can be folded to make a box with no top. Represent a function in terms of a that can define the volume of the box

  4. Geography and Society

    Which of the following areas receive the LEAST amount of precipitation? areas near the poles*** areas near the equator areas near the Tropic of Cancer areas near the Tropic of Capricorn

  1. maths

    The rectangle box with square base is open at the top. The maximum volume of the box made from 1200 m2 tin,in m3 is:

  2. Math

    Nathan is designing a box to keep his pet newt in. To make the box, he’s going to start with a solid rectangle and cut squares with sides x cm in length from each corner, as shown in the picture below. The dimensions of the of

  3. Algebra

    The side of a square equals the length of a rectangle. The width of the rectangle is 4 meters longer than its length. The sum of the areas of the square and the rectangle is 48 square centimeters. Find the side of the square


    Two horizontal forces, F1 and F2, are acting on a box, but only F1 is shown in the drawing. F2 can point either to the right or to the left. The box moves only along the x axis. There is no friction between the box and the

  1. Science

    1. How Ian an areas topography determined? A. By using an areas longitude and latitude B. By using an areas scale C. By using an areas elevation, relief, and landforms * D. By using an areas elevation, longitude and latitude I

  2. Math

    A large rectangle is divided into 4 non-overlapping smaller rectangles by two lines. One line is parallel to the base, and the other line is parallel to the height. If the areas of three of the small rectangles are 18,24, and 40,

  3. physics - please check my answer?

    Consider a block of copper that is a rectangular prism (a box) with sides 15 cm by 20 cm by 50 cm. The resistivity of copper is 1.68e-8. If you consider the resistances between the three sets of parallel faces, which has the

  4. math

    a wire 36 meter long is cut into two pieces. each piece is bent to form a rectangle which is 1 cm longer than its width. How long should each piece be to minimize the sum of the areas of the two rectangle?

You can view more similar questions or ask a new question.