SOLUTION: The surface area of a rectangular prism is 36cm squared. Find the volume of the prism in terms of Width if the height equals 2.
Algebra.Com
Question 321700: The surface area of a rectangular prism is 36cm squared. Find the volume of the prism in terms of Width if the height equals 2.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Let 
represent the width of the prism. Let 
represent the length of the prism.
Given a height of 2, the surface area of the prism as a function of length and width is:
\ =\ 2wl\ +\ 2\,\cdot\,2l\ +\ 2\,\cdot\,2w)
Solve for in terms of and the given surface area of 36.
\ =\ 18\ -\ 2w)
The volume of the prism is the length times the width times the height:
\ =\ \left(\frac{18\ -\ 2w}{w\ +\ 2}\right)\,\cdot\,w\,\cdot\,2\ =\ \frac{36w\ -\ 4w^2}{w\ +\ 2})
John
RELATED QUESTIONS
Two identical circular holes of diameter 12cm are drilled through a solid rectangular... (answered by josgarithmetic)
Find the missing dimensions and measures of a rectangular prism if the length is 5m , the (answered by It is costly)
Find width, length and height of a rectangular prism that has a volume of 355cc with the... (answered by Alan3354)
Find the volume and surface area of the rectangular prism if the length is 8 feet, the... (answered by Boreal)
Two similar rectangular prisms have an edge of the proportion of 3:5. If the smaller... (answered by ikleyn)
Two similar rectangular prisms have an edge of the proportion of 3:5. If the smaller... (answered by ikleyn,Alan3354)
The value of the surface area of a rectangular prism is equal to the volume of the... (answered by CubeyThePenguin)
A rectangular prism has sides that are in the ratio of 3:5:9. If the volume of the prism... (answered by Fombitz)
A rectangular prism has sides that are in the ratio of 3:5:9. If the volume of the prism... (answered by greenestamps)