Author Question: How to do this SAT math question? (Read 4732 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?

Autoimmune diseases occur when the immune system destroys its own healthy tissues. When this occurs, white blood cells cannot distinguish between pathogens and normal cells.

Did you know?

Fatal fungal infections may be able to resist newer antifungal drugs. Globally, fungal infections are often fatal due to the lack of access to multiple antifungals, which may be required to be utilized in combination. Single antifungals may not be enough to stop a fungal infection from causing the death of a patient.

Did you know?

In the United States, there is a birth every 8 seconds, according to the U.S. Census Bureau's Population Clock.

Did you know?

Asthma cases in Americans are about 75% higher today than they were in 1980.

Did you know?

Looking at the sun may not only cause headache and distort your vision temporarily, but it can also cause permanent eye damage. Any exposure to sunlight adds to the cumulative effects of ultraviolet (UV) radiation on your eyes. UV exposure has been linked to eye disorders such as macular degeneration, solar retinitis, and corneal dystrophies.

For a complete list of videos, visit our video library