Which will have a greater effect on the volume of the prism: doubling the height or doubling the width? Explain your reasons.
1 answer:
Doubling the width has a greater effect on volume.
The volume of a prism is calculated by this formula:
<span>Prism Volume = Area of Base • Height
The </span><span>Area of the Base </span>is calculated by this formula:
area = n * side² / (4*tan(180 / # of sides)
So, we see that doubling the width (the side length) will increase the volume by 4 whereas doubling the height only doubles the volume.
The volume of a prism is calculated by this formula:
<span>Prism Volume = Area of Base • Height
The </span><span>Area of the Base </span>is calculated by this formula:
area = n * side² / (4*tan(180 / # of sides)
So, we see that doubling the width (the side length) will increase the volume by 4 whereas doubling the height only doubles the volume.
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Answer:
see explanation
Step-by-step explanation:
Parallel lines have equal slopes.
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 5x + 1 ← is in slope- intercept form
with slope m = 5
Rearrange 2y - 10x + 3 = 0 into this form
Add 10x to both sides
2y = 10x ( subtract 3 from both sides )
2y = 10x - 3 ( divide all terms by 2 )
y = 5x - ← in slope- intercept form
with slope m = 5
Since both lines have a slope of 5 then they are parallel.