SOLUTION: Ahmad wants to place a marble door on his entranceway. The marble door will be shaped like a rectangular solid and will measure 76 2/3 inches long and 41 1/4 inches wide. How many

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Ahmad wants to place a marble door on his entranceway. The marble door will be shaped like a rectangular solid and will measure 76 2/3 inches long and 41 1/4 inches wide. How many       Log On


   

Question 257177: Ahmad wants to place a marble door on his entranceway. The marble door will be shaped like a rectangular solid and will measure 76 2/3 inches long and 41 1/4 inches wide. How many cubic inches of marble will be needed for the door?
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
it depends on how thick the door will be.

the volume of the door is length * width * thickness.

the length of the door is 76 + 2/3 inches.

the width of the door will be 41 + 1/4 inches.

the thickness of the door is unknown.

76 + 2/3 = 230/3 inches.

41 + 1/4 = 125/4 inches.

we will let x represent the thickness of the door.

the volume of the door is 230/3 * 125/4 * x = 37950/12 * x = 3162.5 * x cubic inches.

if x = 1, then the volume of the door is 3162.5 * 1 = 3162.5 cubic inches.

if x = 2, then the volume of the door is 3162.5 * 2 = 6325 cubic inches.