As the cube gets bigger, the volume increases much more rapidly than the surface area, because the volume increases as the cube of the linear dimension, but the surface area increases as the square. This relationship applies, not just to cubes, but to spheres and any other fixed shape. Similarly when length is tripled (x = 3) surface area is increased ninefold (32 = 9) and volume is increased twenty-sevenfold (33 = 27). The increase in volume is always greater than the increase in surface area.
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Variables:
S surface area (units squared)
V volume (units cubed)
l length (units)
r radius (units)
The value of 4 in 1.848 meter is 4 hundredths or 0.04. The fraction form for 4 hundredths is 4 over 100 or 1 over 25
Our first expression is . Upon distributing the exponent 4 on all the terms, we get:
Therefore, your answer is correct for this part. :)
Second expression is . Upon distributing the exponent -2 on all the terms, we get:
Your second answer is correct too.
Our third expression is . Upon distributing the exponent 2 on all the terms, we get:
This one is not correct. Your answer would have been correct, if the exponent were -2 instead of 2 in this part.
Our forth and last expression is . Upon distributing the exponent -5 on all the terms inside the parenthesis, we get:
Therefore, your answer for this part is also correct.
Looking at your work, I don't think you made a mistake in number 3 also, probably mis-typed the question while writing here :)
Answer:
Hello your question is incomplete attached below is the complete question
answer : ALTITUDE , x = 24
Step-by-step explanation:
The type of segment shown in Blue is ALTITUDE segment
This is because
Angle BCD = Angle CEG (opposite angles)
Angle ACD= Angle CFG (opposite angles)
Angle ADC = Angle BCD= Angle CEG = Angle CFG
It can be seen that the triangles are similar hence
18/27=16/x
therefore X =24