Yahoo Answers is shutting down on May 4th, 2021 (Eastern Time) and the Yahoo Answers website is now in read-only mode. There will be no changes to other Yahoo properties or services, or your Yahoo account. You can find more information about the Yahoo Answers shutdown and how to download your data on this help page.

? asked in Science & MathematicsMathematics · 8 years ago

Math, please help me :o?

Hello peeps, I'm working on a set of problems and I'm stuck on numbers 1 and 2.

For number one, I'm not sure but wouldn't it only work for C? help! i don't get it..

number 1 and 2

http://i39.tinypic.com/cm68n.jpg

thanks for the help

1 Answer

Relevance
  • 8 years ago
    Favorite Answer

    You're correct about question 1. The formula

    V = Bh

    only applies if the figure has the same cross-section area for any plane parallel to that of the base and intersecting the figure.

    2a. The prism is 7cm by 10 cm by 12 cm, and since it's a right rectangular prism, 1-cm cubes will fit within it without waste space, so a total of

    7 * 10 * 12 = 840 cubes will fit,

    corresponding to its volume of 840 cubic cm.

    2b. With 2-cm cubes, we have a problem with waste space because one of the dimensions is odd, so we cannot simply divide the volume (840 cubic cm) by the volume of a cube (8 cubic cm) and use that answer (105).

    But we can fill a right rectangular prism 6 by 10 by 12 with 2-cm cubes, using

    6 * 10 * 12 / 8 = 720/8 = 90 cubes,

    and the remaining 1 by 10 by 12 space is the waste space because the cubes don't fit neatly.

    2c. The prism has 6 rectangular faces, 2 with each possible combination of dimensions, so its surface area is

    2 (7 * 10 + 7 * 12 + 10 * 12)

    = 2 (70 + 84 + 120)

    = 2 (274)

    = 548 square cm.

Still have questions? Get your answers by asking now.