The GHOSTBUSTERS!!
If there's something strange
In your neighborhood
Who you gonna call?
Ghostbusters!
If there's something weird
And it don't look good
Who you gonna call?
Ghostbusters!
You the GHOSTBUSTER, ain't ya? I've got strange things taking place in my home, help me plis plisss!!!
A. 10 boys to 12 girls because both numbers in the given ratio have been multiplied by two 5*2=10 6*2=12. None of the other options can be simplified to the original given ratio of 5:6.
The volume of a rectangular prism is its length times width times height, or algebraically,

. You may be used to computing volume with numbers, but remember, a variable is a stand-in for a number. So you can solve this in the same way. Substitute

into the formula for volume. You get

, and you multiply these factors together. As you would with ordinary fractions, multiply the numerators and denominators across. You get

. It seems that the book wants you to simplify by bringing the 6 up to the denominator. Recall the rule

, if n is non-negative. The opposite applies so that

. For your final answer, you write

. This corresponds to
answer choice B.