Author Question: How to do this SAT math question? (Read 4353 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?

Throughout history, plants containing cardiac steroids have been used as heart drugs and as poisons (e.g., in arrows used in combat), emetics, and diuretics.

Did you know?

The most destructive flu epidemic of all times in recorded history occurred in 1918, with approximately 20 million deaths worldwide.

Did you know?

Blood is approximately twice as thick as water because of the cells and other components found in it.

Did you know?

The use of salicylates dates back 2,500 years to Hippocrates's recommendation of willow bark (from which a salicylate is derived) as an aid to the pains of childbirth. However, overdosage of salicylates can harm body fluids, electrolytes, the CNS, the GI tract, the ears, the lungs, the blood, the liver, and the kidneys and cause coma or death.

Did you know?

Studies show that systolic blood pressure can be significantly lowered by taking statins. In fact, the higher the patient's baseline blood pressure, the greater the effect of statins on his or her blood pressure.

For a complete list of videos, visit our video library