The graph shows the relationship between the volume of a rectangular prism and the volume of a square pyramid with an identical
base and height.
What is the slope of the line?
What is the slope of the line?
2 answers:
The picture in the attached figure
we know that
volume of a rectangular prism=area of the base*h
area of the base=B
volume of a rectangular prism=B*h-----> equation 1
<span>volume of a square pyramid=(1/3)*area of the base*h
area of the base=B
</span>volume of a square pyramid =(1/3)*B*h-----> equation 2
substitute equation 1 in equation 2
volume of a square pyramid =(1/3)*volume of a rectangular prism
volume of a rectangular prism/volume of a square pyramid=3
therefore
the slope of the line must be 3
<span>let's check it
</span>To solve for the slope of the line, you must choose two coordinates first and use the formula m = (y₂-y₁)/(x₂-x₁).
Choosing the points (2,6) and (3,9) :m = (9-6)/(3-2) = 3.
the answer isThe slope of the line is 3.
we know that
volume of a rectangular prism=area of the base*h
area of the base=B
volume of a rectangular prism=B*h-----> equation 1
<span>volume of a square pyramid=(1/3)*area of the base*h
area of the base=B
</span>volume of a square pyramid =(1/3)*B*h-----> equation 2
substitute equation 1 in equation 2
volume of a square pyramid =(1/3)*volume of a rectangular prism
volume of a rectangular prism/volume of a square pyramid=3
therefore
the slope of the line must be 3
<span>let's check it
</span>To solve for the slope of the line, you must choose two coordinates first and use the formula m = (y₂-y₁)/(x₂-x₁).
Choosing the points (2,6) and (3,9) :m = (9-6)/(3-2) = 3.
the answer isThe slope of the line is 3.
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