THE VOLUME OF A RECTANGULAR PRISM IS 140 CUBIC FT. THE LENGTH OF THE BASE IS 7FT AND THE WIDTH OF THE BASE IS 4FT. WHAT IS THE HEIGHT OF THE PRISM?
To find the height of the rectangular prism, we can use the formula for volume of a rectangular prism.
The formula for volume is given by:
Volume = Length x Width x Height
In this case, we are given the volume as 140 cubic feet, the length as 7 feet, and the width as 4 feet.
Plugging in the given values into the formula, we have:
140 = 7 x 4 x Height
To solve for the height, we can rearrange the equation:
140 = 28 x Height
Now we can isolate the height by dividing both sides of the equation by 28:
Height = 140 / 28
Simplifying the expression, we have:
Height = 5
Therefore, the height of the prism is 5 feet.
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Volume = length * width * height
Insert the known values and solve for height.