SOLUTION: 3.5
23.)
a. If the side of one square is three times as long as the side of a second square, how do their areas compare?
b. If the side of a cube is three times as long as
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Question 571529: 3.5
23.)
a. If the side of one square is three times as long as the side of a second square, how do their areas compare?
b. If the side of a cube is three times as long as the side of a second cube, how do their volumes compare?
c. If all the dimensions of a rectangular box are doubled, what happens to its volume?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
a. If the side of one square is three times as long as the side of a second square, how do their areas compare?
let x^2 = the area of the 1st square
let (2x)^2 = area of the 2nd square
Compare them like this
=
Cancel the x^2, you have 4 times the area of the 1st
Similarly
b. If the side of a cube is three times as long as the side of a second cube, how do their volumes compare?
=
cancel x^3, you have 27 time the vol of the 1st cube
:
c. If all the dimensions of a rectangular box are doubled, what happens to its volume?
:
=
cancel LWH and you have 8 times the volume of the 1st rect
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