The formula for the volume, V, of a prism is V = Bh, where B equals the base area, and h is the height of the prism. What is the height of a prism with base area 21 cm2 and volume 84 cm3?
well, if v = Bh, then
84 = 21h
That help?
so is the answer 4 because 21*4 = 84
correct.
What would the formula be if it were h= ?
To find the height of the prism, we can rearrange the formula for the volume of a prism:
V = Bh
Given:
Base area, B = 21 cm^2
Volume, V = 84 cm^3
Substituting the given values into the formula, we get:
84 = 21h
To isolate the variable 'h', we can divide both sides of the equation by 21:
84/21 = h
Simplifying the equation, we find:
4 = h
Therefore, the height of the prism is 4 cm.