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### Course: 8th grade foundations (Eureka Math/EngageNY)>Unit 7

Lesson 3: Topic D: Foundations

# Volume formula intuition

Practice problems that help you see why the volume formula makes sense.

## Volume formula intuition

Problem 1
The rectangular prism has
layers separated by color.
Each colored layer is made up of
unit cubes.
What is the volume of the rectangular prism?
cubic units

Problem 2
The rectangular prism has
slices separated by color.
Each colored slice is made up of
unit cubes.
What is the volume of the rectangular prism?
cubic units

Problem 3
The rectangular prism has
slices separated by color.
Each colored slice is made up of
unit cubes.
What is the volume of the rectangular prism?
cubic units

Problem 4
The rectangular prism has
layers separated by color.
Each colored layer is made up of
unit cubes.
What is the volume of the rectangular prism?
cubic units

## Want to join the conversation?

• what does a 4d shape look like
• Interesting question!
An example of a 4d figure is a tesseract, which is a 4d extension of a cube. This can be constructed by drawing two cubes of the same size, then joining each corner (or vertex) of the first cube with the corresponding corner of the second cube (using a line segment to join them).
• what dose a 4d shape look like
• For example, to draw a representation of a 4d cube (called a tesseract):

1) Draw two 3d cubes, oriented in the same way.
2) Draw a line segment connecting each vertex of one cube to the corresponding vertex of the other cube.

The link https://mathworld.wolfram.com/Tesseract.html shows a picture of a tesseract.

Have a blessed, wonderful day!
• assignment is completed however there is no submit button to turn in the work
• Hi, I'm Jovani and I also use Khan for school, I think that it can have it's challenges at times, but over all it is pretty easy! Have a great day all, Jovani!
• Hello, @jovanicooper, my name is Marissa and i also use Khan-Academy for school!
(Khan has helped me so much!)
You are right, some topics can be pretty "hairy" as Sal puts it, but over all it is GREAT!
Have a BLESSED day!
M.L.M.
• Is there a submit button for this assignment ?
• No, this is just so you can review a skill in case you missed something or don't understand it. They have them in every unit.
• how do we know how mutch there is if it's behind the block?
• U ether turn it or u just Dobell what's in front
• No it hit me hard really hard but i came through and did it
• Good job!
In order to achieve anything in life, you have to push through all the hard and painful parts.
{For example, i want to go to the military, but guess what i have to push through all the hard and painful parts of physical and mental training}
NEVER GIVE UP!
• Honestly, who invented math?!