The volume of a triangular prism is 264 cubic feet the area of the base is 48 square feet. Find the height of the prism
5.5
To find the height of the triangular prism, we can use the formula for the volume of a prism.
The volume of a prism is given by the formula: V = A * h, where V is the volume, A is the area of the base, and h is the height of the prism.
In this case, the volume of the triangular prism is given as 264 cubic feet (V = 264 ft^3) and the area of the base is given as 48 square feet (A = 48 ft^2).
Substituting the given values into the formula, we get:
264 = 48 * h
To find the height, we solve for h by dividing both sides of the equation by 48:
264 / 48 = h
Simplifying this equation gives:
5.5 = h
Therefore, the height of the prism is 5.5 feet.
To find the height of the prism, we need to use the formula for the volume of a triangular prism.
The formula for the volume of a triangular prism is:
Volume = (Area of the base) × (Height of the prism)
Given:
Volume = 264 cubic feet
Area of the base = 48 square feet
We can substitute these values into the formula and solve for the height of the prism.
264 = 48 × (Height of the prism)
To find the height of the prism, we can divide both sides of the equation by 48:
264 / 48 = (48 × (Height of the prism)) / 48
Simplifying:
5.5 = Height of the prism
Therefore, the height of the prism is 5.5 feet.
since v = Bh, you have
264 = 48h
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