ohh im sorry i also have another problem i don't understand.
"A rectangular solid measures 1.0 m by 5.6 cm by 2.1 dm. Express its volume in cubic meters, liters, cubic inches, and cubic feet."
i don't even know what dm means !
Someoneee please help me!
Here's the definition of dm.
http://www.answers.com/topic/decimeter-decimetre-dm
Check your text materials for these conversions.
thanks!
but what about the problem?
I still don't understand it
Have you checked your text materials for conversions for meters, centimeters, decimeters, inches, feet, etc.?
yes, so do i just multiply the numbers by that?
Give it a try. We'll be glad to check your answers.
Note to Jecce.
You should know all of the prefixes and all of the metric conversions or have a way in your mind to figure them out. Here is a simplified table
K = kilo
H = hecto
Da = deca
unit = meter, liter, second (time), gram
d = deci
c = centi
m = milli
To change from one unit to the other just move the decimal point to the left if moving up the table and move the decimal point to the right if moving down the table. How many places do we move the decimal point? One place for each unit we move. For example, to change 120 mm to m we move up the chart 1 to centi, 1 more to deci and 1 more to m or a total of 3 places. Since we moved UP the table, we move the decimal point to the left and 120 mm becomes 0.120 m. Voila!.
See your earlier post for a site that gives all of the prefixes.
For conversions from metric to English, or the reverse, I remember a few conversion factors but not very many. I know there are 2.54 cm = 1 inch, 12 inches = 1 ft, 231 cubic inches = 1 gallon, 144 square inches = 1 square foot and 1728 cubic inches = 1 cubic foot.
m = meter = length
s = second = time
g = gram = mass
L = liter = volume
Remember that 1 cc = 1 cubic centimeter = 1 milliliter = 1 mL.
I said I left a site for you below but that was for another student. Scroll down a question or two below and find my response to Mandy. I left a site there that lists all of the prefixes.
Thank you!
that really cleared things up for me. I saw that website as well.
No problem! I can help explain this problem to you.
To solve this problem, we need to understand the measurements being given. Let's break it down:
1.0 m: This is the measurement in meters. 1 meter is equivalent to 100 centimeters (cm). So, 1.0 m is equivalent to 100 cm.
5.6 cm: This is the measurement in centimeters, which is already given.
2.1 dm: "dm" stands for decimeters. 1 decimeter is equivalent to 10 centimeters (cm). So, 2.1 dm is equivalent to 21 cm.
Now that we understand the given dimensions, we can proceed to calculate the volume of the rectangular solid and express it in different units.
To find the volume, we need to multiply the three dimensions: length, width, and height.
Volume = Length x Width x Height
= 1.0 m x 5.6 cm x 2.1 dm
Now, we need to convert the measurements to a consistent unit before multiplying.
Since the question asks for the volume in cubic meters, we will convert all measurements to meters.
Converting cm to meters: Divide by 100
Converting dm to meters: Multiply by 0.1
Now, let's perform the conversion:
1.0 m = 1.0 m (no conversion needed)
5.6 cm = 5.6 cm ÷ 100 = 0.056 m
2.1 dm = 2.1 dm x 0.1 = 0.21 m
Now, let's substitute the converted measurements into the volume formula:
Volume = 1.0 m x 0.056 m x 0.21 m
Finally, let's calculate the volume:
Volume = 0.01176 cubic meters
To express the volume in liters, cubic inches, and cubic feet, we can use the following conversions:
1 cubic meter = 1000 liters
1 cubic meter = 61023.7 cubic inches
1 cubic meter = 35.3147 cubic feet
Now, let's calculate the volume in different units:
Volume in liters = 0.01176 cubic meters x 1000 = 11.76 liters
Volume in cubic inches = 0.01176 cubic meters x 61023.7 = 716.16 cubic inches
Volume in cubic feet = 0.01176 cubic meters x 35.3147 = 0.4142 cubic feet
So, the volume of the rectangular solid is:
- 0.01176 cubic meters
- 11.76 liters
- 716.16 cubic inches
- 0.4142 cubic feet
I hope this explanation helps you understand the problem and how to calculate the volume in different units.