Author Question: How to do this SAT math question? (Read 2411 times)

Jones

  • Full Member
  • ***
  • Posts: 145
The front, side, and bottom faces of a rectangular solid have areas of 24 square cm., 8 square cm., and 3 square cm., respectively. What is the volume of the solid, in cubic cm.?

Answer: 24 cubic cm.



Melanie

  • Full Member
  • ***
  • Posts: 204
Reply #1 on: Jun 18, 2013
The volume of a rectangular polygon is l*w*h.  The issue in this problem is that we need to find these values based on the areas.  We will start by looking at the areas and factoring them.  

24 = 24*1 or 12*2 or 8*3 or 6*4
8 = 8*1 or 4*2
3 = 3*1

Looking at these factors we can easily see that the bottom is 3x1 or 1x3.  It is touching the side piece and the only common factor between them is 1, so we know that the length must be 1 and the width must be 3.  Since the area of the side piece is 8 and 1 is the length, then 8 must be height.  Now just multiply w*h*l = 3*8*1 = 24.



Related Topics

Need homework help now?

Ask unlimited questions for free

Ask a Question

aero

  • Hero Member
  • *****
  • Posts: 512
Reply #2 on: Jun 18, 2013
3 x 8=24
24/24=1e.g. 24 cu. Cm.
equivalent cube



Hawke

  • Hero Member
  • *****
  • Posts: 679
Reply #3 on: Jun 18, 2013
Let the sides be
X Y Z

X*Y = 24

Y*Z = 8

X*Z = 3

X/Z = 24/3 = 3

=========

X*Z = 3
X/Z = 3

therefore X=3, Z=1, Y=8

volume = 3*1*8 = 24



 

Did you know?

Street names for barbiturates include reds, red devils, yellow jackets, blue heavens, Christmas trees, and rainbows. They are commonly referred to as downers.

Did you know?

The senior population grows every year. Seniors older than 65 years of age now comprise more than 13% of the total population. However, women outlive men. In the 85-and-over age group, there are only 45 men to every 100 women.

Did you know?

The types of cancer that alpha interferons are used to treat include hairy cell leukemia, melanoma, follicular non-Hodgkin's lymphoma, and AIDS-related Kaposi's sarcoma.

Did you know?

Hippocrates noted that blood separates into four differently colored liquids when removed from the body and examined: a pure red liquid mixed with white liquid material with a yellow-colored froth at the top and a black substance that settles underneath; he named these the four humors (for blood, phlegm, yellow bile, and black bile).

Did you know?

If all the neurons in the human body were lined up, they would stretch more than 600 miles.

For a complete list of videos, visit our video library