The volume of a rectangular prism can be calculated with the formula V=lwh, where V is the volume, l is the length, w is the width, and h is the height. If a rectangular prism has a volume of 90 ft.3, length of 3 ft., and height of 12 ft., what is its width? Enter your answer as a decimal.
The volume of the rectangular prism is given as 90 ft^3. The length is given as 3 ft and the height is given as 12 ft.
We can use the formula V = lwh to find the width.
Substituting the given values, we have 90 = 3 * w * 12.
Simplifying the equation, we get 90 = 36w.
Dividing both sides of the equation by 36, we find w = 90/36.
Evaluating the right side of the equation, we have w = 2.5.
Therefore, the width of the rectangular prism is 2.5 ft.
To find the width, we can rearrange the formula V = lwh to solve for w:
w = V / (lh)
Given:
V = 90 ft^3
l = 3 ft
h = 12 ft
Substituting the given values into the formula:
w = 90 ft^3 / (3 ft * 12 ft)
Simplifying:
w = 90 ft^3 / 36 ft^2
w ≈ 2.5 ft
Therefore, the width of the rectangular prism is approximately 2.5 ft.