8th grade / Ratio proportion rate / Place value: measures / Volume / Convert m³ to cm³
Converting between decimal units of volume like metres cubed or centimetres cubed can be done by converting each dimension of the volume separately, then multiplying the converted dimensions. So when converting cubic metres to cubic centimetres, think about the length, width and depth of that volume separately as a certain length in metres that must be converted to centimetres.
So a body with a volume of 1 cubic metre imagined as a regular cube with sides of 1 metre can be converted to a cube with sides of length 100 cm. The volume of the cube in cm³ is then 100 cm x 100 cm x 100 cm = 1,000,000 cm³
Similarly, a volume of 7.7 m³ could be thought of as a cuboid with dimensions of 7.7 m, 1 m and 1 m. Converting these dimensions to centimetres gives us a cuboid of 770 cm x 100 cm x 100 cm which is 7,700,000 cm³. By converting each dimension of the volume first to the target units, it becomes easier to convert the total volume to the desired units.
With our quick math tests you will be revising "Convert m³ to cm³" in 2 simple steps. The math in our tests consists of 16 questions that ask you to convert cubic meters (m³) to cubic centimeters (cm³) by multiplying by 1,000,000.
These math tests are designed to round off your learning experience here at Free Math Games by testing whether you can correctly recognize the math you have learned (in the multiple choice test) and that you can correctly enter the correct answers (in the writing test).
Make sure you have chosen the correct topic before starting! Although these tests are timed, try to relax and concentrate on getting the answers right at first - later you can try the tests again more quickly.
The two types of tests are:
Key features of our math tests include:
You should expect to score 8+ / 10 in each test before you select a new topic. It is a good idea to repeat the test for each topic you do after two weeks to "reinforce" the math for that topic
UXO * Duck shoot * The frog flies * Pong * Cat and mouse * The beetle and the bee
Rock fall * Four in a row * Sow grow * Choose or lose * Mix and match
This is a multiple choice activity similar to "What is it" in the Math lessons - you are shown a randomly selected question from the topic you are using. A selection of topic answers are displayed as a list. If you click/tap the speaker beside any answer you will hear the audio for that answer.
For each question, you must click on the answer that matches that question. If your answer is correct you will hear a bell and one star will be lit. The next question will be shown. If your answer is wrong, a box will open showing you what the correct answer was.
The test is timed, and the clock starts when you click the Start button. The clock stops when you click your final answer. At the end of your test a screen will tell you how many of the questions you got right and how long you took to complete the test.
The writing test checks whether you can type the correct answer using your keyboard. This test is also timed. You can do the test many times until you get a good score. To start the test, click on the "Writing test" sign in the navigation board, then click on the "Start the test" arrow.
A random problem from your selected topic is shown. Beneath the problem there is a white box into which you should type the answer. If you need a little help you can click on the "Help me" button for a tip. Only use the help if you really need to.
If you type the answer correctly your device will automatically light a star. If you have entered your answer and no star lights up, click on the tick or press Enter to check your answer. When you have tried all the questions, a screen will show you how many questions you answered correctly and how long it took.
* Try to score 8 out of 10 in both test before you choose a new topic *
* It is OK to do the tests many times if you need to *
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