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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Answer:
5 / 28
Step-by-step explanation:
5/7 ÷ 20/5
= 5/7 x 5/20
= (5 x 5) / (7 x 20)
= 25 / 140 (divide numerator and denominator by 5)
= 5 / 28
X= 20/17 ; multiply by reciprocal 10 times 8/17 =4x then 80/17=4x , divide both sides by 4 leaves you x=20/17
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Answer:
I am pretty sure it is 53cm.
Step-by-step explanation:
If it were in a cylinder shape 10 x 8 is 80 but is is in the shape of a cone so the volume lessens so it can't be 80cm or 160cm. 27cm is a bit to low so that is why I am 90% sure it is 53cm.