A company sells cereal in two different -sized boxes.The smaller box has the dimensions of 12-inch,2-inch and 7 3/4 i.The height
of the smaller box is 80% of the height of the lager box,while the other two dimensions are the same for both boxes.What is the difference in the volumes of the two boxes?
Step-by-step explanation:First you to set up the proportion. If 80% equals to 12. You Would do 80 over hundred becuase percent is out of hundred (80/100) then you would do 12 over x or any other variable. FROM there on you would to the butter fly method. Cross multiply . ( 80 times variable, 12 times 100) now to isolate the variable you have to do inverse operation. So now do 1200 divided by 80 . And 80 divided by 80. Now you know.
X=15.
But were no done yet lol. Now do length times width times height to get the volume. 15 times 2 times 31/4 (7 3/4) . now we're done. Your welcome
We will take the volume of each box separately to find the difference between them. We have then that the volume of the boxes is: V = (L) * (W) * (h) Where, L: long W: width h: height The smaller box: V1 = (12) * (2) * (7 3/4) V1 = 186 in ^ 3 the lager box: V2 = (12) * (2) * ((7 3/4) * (100/80)) V2 = 232.5 in ^ 3 The difference is: V2-V1 = 232.5 in ^ 3 - 186 in ^ 3 = 46.5 in ^ 3 Answer: The difference in the volumes of the two boxes is: 46.5 in ^ 3
1/20 is a tiny portion of the length that needs to be traveled. 20/20 is the whole length. If 1/20 gets traveled in 3/4 of a second, multiply 3/4 by 20 to see how long it takes to travel 20(1/20) which is equal to 1, the whole path.