The ratio of sides of 2 similar cubes is 3:4. Larger cube has a volume of 1728 cubic meters . What is the volume of the smaller
cube?
1 answer:
Answer:
729m³
Step-by-step explanation:
To find the length of one side find the cube root of 1728m³
³√1728=12metres
To find the length of the smaller cube
ratio 3:4.
4/7=12m
3/7=?
<u>3</u><u>/</u><u>7</u><u>×</u><u>1</u><u>2</u><u> </u>= 3/7×12×7/4
<u> </u><u> </u><u> </u>4/7
=9metres
To find volume of the small cube
volume=9×9×9
=729m³
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