Using the formula for the volume of a right rectangular prism what is the area of the base when the volume is 50 cubic units and height is 2
The formula for the volume of a right rectangular prism is V = lwh, where V is the volume, l is the length, w is the width, and h is the height.
Given that the volume is 50 cubic units and the height is 2, we can write the equation as 50 = lw(2).
We want to find the area of the base, which is the product of length and width, lw.
To do this, we need to solve for either l or w in terms of the other variable.
We can start by isolating lw in the equation 50 = lw(2).
Dividing both sides of the equation by 2, we get 25 = lw.
Now, we can see that lw = 25, which represents the area of the base.
To find the area of the base of a right rectangular prism, we need to use the given information of volume and height.
The formula for the volume of a right rectangular prism is:
Volume = Length * Width * Height
Given information:
Volume = 50 cubic units
Height = 2 units
Since we need to find the area of the base, we can express the volume of the prism as the area of the base multiplied by the height:
Volume = Area of base * Height
50 = Area of base * 2
To find the area of the base, we can rearrange the equation:
Area of base = Volume / Height
Substituting the given values:
Area of base = 50 / 2 = 25 square units
Therefore, the area of the base of the right rectangular prism is 25 square units.