Mathematics, 21.06.2019 21:00 nathanwhite2000

What is the similarity ratio of a cube with volume 729m^3 to a cube with volume 3375 m^3

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Answer from: Buttercream16

3/5

Step-by-step explanation:

We are to find the similarity ratio of a cube with volume 729 m^3 to a cube with volume 3375 m^3 .

We know the formula for the ratio of two cubes:

$\frac{V_1}{V_2} =k^3$

where is the similarity ratio of the two cubes.

Substituting the given values in the formula to find :

$k^3 = \frac {729} {3375}$

$k^3 = \frac {27} {125}$

$k^3 = (\frac {27} {125})^3$

$k=\frac{3}{5}$

Therefore, the similarity ratio of the two cubes is 3/5.

Answer from: emmanuel180

The similitary ratio is 3:5

Step-by-step explanation:

To answer this question let's call:

$V_1 = 729\ m^3$ to volume 1.

Let's call:

$V_2 = 3375\ m^3$ to volume 2

The relation k of simiiltud between both volumes we find dividing V_1 between V_2

$\frac{V_1}{V_2} = k^3\\\\\frac{V_1}{V_2} = \frac{729m^3}{3375m^3}\\\\\frac{V_1}{V_2} = \frac{27}{125}\\\\\frac{V_1}{V_2} = \frac{3^3}{5^3}\\\\k^3 = (\frac{3}{5})^3\\\\k = \frac{3}{5}$

Answer from: Quest

if gloria has "carry over" minutes, (that is, any minutes paid for but not used in a month can be applied to her payment for minutes in the next month,) her total usage for the three months is: total minutes = 320 + 243 + 489 = 1052 minutes number of 200 minute blocks = 1052/200 = 5 r52 (that is 5 with a remainder of 52) rounding up the number of 200 minute blocks gives her usage for the three months as 6 blocks. the cost for six blocks is 6 x $25 = $150 she also has 200 - 52 or 148 carry over minutes if gloria pays each month and unused minutes are lost, applying the rounding up procedure to each month gives: first month usage of 320 minutes rounds up to 2 blocks of 200 minutes for a payment of 2 x $25 = $50 second month usage of 243 minutes rounds up to 2 blocks of 200 minutes for a payment of 2 x $25 = $50 third month usage of 489 minutes rounds up to 3 blocks of 200 minutes for a payment of 3 x $25 = $75 total payments for the three months are $50 + $50 + $75 = $175 get the plan with carry over minutes!

Answer from: Quest

2(10 - 13x) + 9x = -34x + 6020 - 26x + 9x = -34x + distributive property-17x = -34x + subtraction property (subtracted 20 from both sides)17x = addition property (added 34x to both sides)x = 40/ division property (divided both sides by 17)

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What is the similarity ratio of a cube with volume 729m^3 to a cube with volume 3375 m^3...

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