A prism has a length of l, width of 3 feet, and height of 7 feet.
The volume of this rectangular prism is 84 ft3.
A prism has a length of l, width of 3 feet, and height of 7 feet.
The volume of this rectangular prism is 84 ft3.
What is the length of the prism?
28 ft
12 ft
8 ft
4 ft
What is the width if the length is 7 ft and the height is 3 ft?
To find the length of the prism, we can use the formula for the volume of a rectangular prism, which is given by length multiplied by width multiplied by height.
So, for this problem, we have the following information:
- Width = 3 feet
- Height = 7 feet
- Volume = 84 ft^3
Using the formula for volume, we can set up the equation:
Volume = Length * Width * Height
Substituting the given values:
84 ft^3 = Length * 3 ft * 7 ft
To isolate the length, we divide both sides of the equation by (3 ft * 7 ft):
84 ft^3 / (3 ft * 7 ft) = Length
Calculating the right-hand side of the equation gives:
84 ft^3 / (3 ft * 7 ft) = 4 ft
Therefore, the length of the prism is 4 ft.
l * 3 * 7 = 84
Solve for l.