Author Question: How to do this SAT math question? (Read 2416 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?

For about 100 years, scientists thought that peptic ulcers were caused by stress, spicy food, and alcohol. Later, researchers added stomach acid to the list of causes and began treating ulcers with antacids. Now it is known that peptic ulcers are predominantly caused by Helicobacter pylori, a spiral-shaped bacterium that normally exist in the stomach.

Did you know?

Acetaminophen (Tylenol) in overdose can seriously damage the liver. It should never be taken by people who use alcohol heavily; it can result in severe liver damage and even a condition requiring a liver transplant.

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?

Though methadone is often used to treat dependency on other opioids, the drug itself can be abused. Crushing or snorting methadone can achieve the opiate "rush" desired by addicts. Improper use such as these can lead to a dangerous dependency on methadone. This drug now accounts for nearly one-third of opioid-related deaths.

Did you know?

Since 1988, the CDC has reported a 99% reduction in bacterial meningitis caused by Haemophilus influenzae, due to the introduction of the vaccine against it.

For a complete list of videos, visit our video library