What are the sides of a rectangular prism increased by if the volume increases from 54 mm3 to 3456 mm3?
1 answer:
Answer:
The sides of the original rectangular prism have been increased by a scale factor of 4
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube
Let
z----> the scale factor
x---> volume of the increased rectangular prism
y---> volume of the original rectangular prism
substitute
-----> the scale factor
therefore
The sides of the original rectangular prism have been increased by a scale factor of 4
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Answer:
V_rocket = 44 ft^3 = 138.2 ft^3
Step-by-step explanation:
Volume of cone
V_cone = (1/3)*(*(radius^2))*h
radius = 2ft
h = height of the cone = 3 ft
pi = 3.1416
V_cone = 4 ft^3
Volume cylinder
V_cylin = (*(radius^2))*h_cyl
h_cyl = height of the cylinder = 10 ft
V_cylin = 40 ft^3
Volume rocket
V_rocket = V_cone + V_cylin = 4 ft^3 + 40
ft^3
V_rocket = 44 ft^3 = 138.2 ft^3
Answer:
Step-by-step explanation:
We can use exponent rules to try and simplify this expression down.
Exponent rules tell us that .
This means that since we have the same base on both terms (7 and 7), we can add the exponents to get a simplified expression.
So our simplified expression is .
Hope this helped!