What is the height of of prism if the volume is 1122 and the base is 93.5 squared?
Is it a square base prism?
If so then
Volume = (93.5)(93.5)(height)
that is,
1122 = (93.5)(93.5)(height)
re-arrange and solve for height.
To find the height of a prism, you can use the formula:
V = Bh
Where:
V represents the volume of the prism,
B represents the area of the base, and
h represents the height of the prism.
In this case, you are given that the volume (V) is 1122 and the base area (B) is 93.5 squared.
Substituting these values into the formula, we get:
1122 = 93.5 * h
To find the height (h), we need to isolate it on one side of the equation.
Dividing both sides of the equation by 93.5, we get:
h = 1122 / 93.5
Evaluating the right side of the equation, you would get:
h ≈ 11.999
Therefore, the height of the prism is approximately 11.999 (rounded to the nearest decimal place).
To find the height of a prism given its volume and the area of its base, you can divide the volume by the area of the base.
In this case, the volume of the prism is given as 1122 and the base area as 93.5 squared. To find the height, divide the volume by the base area:
Height = Volume / Base area
Height = 1122 / 93.5
By performing the division, the height of the prism would be approximately 11.99 units.