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
To find the width of the rectangular prism, we can rearrange the formula for volume to solve for the width (w).
V = lwh
Dividing both sides of the equation by both l and h:
V / (lh) = w
Now, let's substitute the given values into the equation:
V = 90 ft.3
l = 3 ft.
h = 12 ft.
w = 90 ft.3 / (3 ft. * 12 ft.)
w = 90 ft.3 / 36 ft.
w = 2.5 ft.
Therefore, the width of the rectangular prism is 2.5 ft.
To find the width of the rectangular prism, we can rearrange the formula V = lwh to solve for w.
Given:
V = 90 ft^3
l = 3 ft
h = 12 ft
Substituting the given values into the formula:
90 ft^3 = 3 ft * w * 12 ft
Now, let's solve for w:
90 ft^3 = 36w ft^2
Divide both sides of the equation by 36 ft^2:
90 ft^3 / 36 ft^2 = w
Simplify:
2.5 ft = w
Therefore, the width of the rectangular prism is 2.5 ft.