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## Geometry 222-226

### Course: Geometry 222-226>Unit 1

Lesson 7: Volume and surface area word problems

# Volume of rectangles inside rectangles

How many crates can we fit into a boxcar? We'll explain that there's more than one way to solve for the volume in this problem. Created by Sal Khan.

## Want to join the conversation?

• How do u find the surface area of a triangular prism?
• Alot of these answers are giving you the volume, which is how much fits inside a triangular prism, but not the surface area, which is how big the surface is - like if you had to wrap it with wrapping paper, how much paper would you need? I break it down into the same shapes so I know what I've calculated already and don't forget a side. First I take the (Width of the base * Height of the tallest point) for the triangle side, then I +add it to the (Length of the base * Width of the base) for the bottom side, then I +add it to the (Length of the base * Height of the tallest point) for the other side that is not the longest side of triangle side, then I +add it to the (Length of the base * Side that is the hypotenuse (longest side of triangle)). In math, that is SA = wh + Lw + Lh + Ls which will always be the unit of measurement^2, since it is an area and not how long around something is and not a volume.
• The question is about The Ubas moving from Houston to Egypt, but why do the crates say "china shipping."
• Haha the picture is of a port. Hence Cargoes could travel
• At Sal wrote 12 after describing the volume of a box instead of 12 to the third.
• In this case he's counting the number of crates that can fit in the boxcar. If he had wanted to get the volume of the crates, he would have said 12 cubic meters (meters to the third), not 12 to the third.
• Anybody know the question said something about Houston to Egypt but the picture shows "China Shipping"
• Well 1.) China makes crates in bulk, so they could have purchased the crates for cheaper from China Shipping. 2.) The crates would have to travel across the ocean to get from the good old state of Texas to Egypt, so China might have gotten some jumbo-crates to stuff the smaller crates from the boxcar inside. 3.) It was probably just an attempt to make the screen and problem seem more interesting, but Sal overlooked that detail. It might have been too much trouble to find something that specific. *\(^-^)/* idk for sure though...
• how would you find the area with only the height
• How do you find the volume of a pyramid inside a rectangle?
• how do you find the surface area of a rectangular prism
• SA=2(wl+hl+hw)
• I NEED HELP WITH THIS PROBLEM!
The volume of rectangular prism is same as: The
Volume of cuboid, Volume of cube, Volume of cone or None of these
• Hi, Daniel.
First don't stress out and think it through. The formula to solve for the volume of a rectangular prism is V=lwh. Since a square is just a fancy rectangle you can use the same formula for both. This also goes for volume. A cube is just a fancy rectangular prism. I hope this helps and that should be the answer.
P.S. I am not a teacher. I am just a friendly, weird teen who LOVES math and also LOVES helping others succeed. :)