By finding the scale factor, we will see that the volume of the smaller solid is 86.75 m³.
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How to get the volume of the smaller solid?</h3>
If the solids are similar, then there is a scale factor between the two. Then the relation between the areas is equal to the scale factor squared, and the relation between the volumes is equal to the scale factor cubed.
This means that if the areas are 169 m² and 81 m², then we can write:
169 m² = (k²)*81 m²
Solving for k, we get:
k = √(169 m²/81 m²) = 1.44
Then if the volume of the large solid is 124.92m³ we can write:
124.92m³ = k³*V
Replacing k and solving for V we get:
124.92m³ = (1.44)³*V
(124.92m³/ (1.44)³) = V = 86.75 m³
If you want to learn more about scale factors:
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$11=2 hrs
2hrs=$11
+2(4hrs)=$22
+2(6hrs)=$33 hrs
so 6 hrs or 7 hours and some
minutes left
Answer:
$6.60 dollars
Step-by-step explanation:
He bought 10 34¢ stamps which means it only costed $3.40, because 10x.34=3.40
So in order to find the change, you subtract $10-$3.40, which equals $6.60
Answer:
In Buffalo, New York, the temperature was -14°F in the morning. If the temperature dropped 7°F, what is the temperature now?
Step-by-step explanation:
You just need to get a situation where there would be negative increase. My example was temperature, but other easy examples could be money (debt, etc) or sea level.
Answer:
x = - 5
Step-by-step explanation:
= 2x ( multiply both sides by 3 to clear the fraction )
2x - 20 = 6x ( subtract 2x from both sides )
- 20 = 4x ( divide both sides by 4 )
- 5 = x
