Author Question: How to do this SAT math question? (Read 4753 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?

The ratio of hydrogen atoms to oxygen in water (H2O) is 2:1.

Did you know?

Common abbreviations that cause medication errors include U (unit), mg (milligram), QD (every day), SC (subcutaneous), TIW (three times per week), D/C (discharge or discontinue), HS (at bedtime or "hours of sleep"), cc (cubic centimeters), and AU (each ear).

Did you know?

Your chance of developing a kidney stone is 1 in 10. In recent years, approximately 3.7 million people in the United States were diagnosed with a kidney disease.

Did you know?

Anesthesia awareness is a potentially disturbing adverse effect wherein patients who have been paralyzed with muscle relaxants may awaken. They may be aware of their surroundings but unable to communicate or move. Neurologic monitoring equipment that helps to more closely check the patient's anesthesia stages is now available to avoid the occurrence of anesthesia awareness.

Did you know?

It is difficult to obtain enough calcium without consuming milk or other dairy foods.

For a complete list of videos, visit our video library