Answer:
Height of the prism is [tex]h=\frac{V}{B}[/tex].
The value of height of the prism is 5 ft.
Step-by-step explanation:
Given,
V = Bh
Volume = [tex]175\ ft^3[/tex]
Base area = [tex]35\ ft^2[/tex]
We need to find the formula for 'h' and also the height of the prism.
We have attached the figure for your reference.
Solution,
We have given the formula for volume of prism.
[tex]V=Bh[/tex]
We have to find the 'h' in terms of 'V' and 'B'.
So we will divide both side by 'B' using division property and get;
[tex]\frac{V}{B}=\frac{Bh}{B}\\\\\frac{V}{B}=h[/tex]
Now we will solve for the value of 'h'.
We have also given that;
V = [tex]175\ ft^3[/tex]
B = [tex]35\ ft^2[/tex]
On substituting the given values, we get;
[tex]h=\frac{175\ ft^3}{35\ ft^2}=5\ ft[/tex]
Hence height of the prism is [tex]h=\frac{V}{B}[/tex].
And the value of height of the prism is 5 ft.
Answer:
[tex]h=\frac{V}{B}[/tex] is the solution.
5 ft is the prism's height.
Step-by-step explanation:
Given:
The volume V of a prism with base area B and height h.
The formula = [tex]V=Bh[/tex].
As, the figure of prism is missing, so below is the figure attached.
Now, to solve the formula for [tex]h[/tex]. And to get the prism's height.
[tex]V=[/tex] [tex]volume\ of\ the\ prism.[/tex]
[tex]B=[/tex] [tex]base\ area.[/tex]
[tex]h=[/tex] [tex]height\ of\ the\ prism.[/tex]
Now, to solving for h:
[tex]V=Bh[/tex]
Dividing both sides by [tex]B[/tex] we get:
[tex]\frac{V}{B}=h\\\\ h=\frac{V}{B}[/tex]
Now, to use the formula to get the height:
V = 175 ft³.
B = 35 ft³.
[tex]h=\frac{V}{B}[/tex]
[tex]h=\frac{175}{35}[/tex]
[tex]h=5\ ft.[/tex]
Therefore, [tex]h=\frac{V}{B}[/tex] is the solution.
And 5 ft is the prism's height.
