Library

Unit 5 - Lesson 12 - Grade 8: Illustrative Mahematics

By Formative Library
Last updated 2 months ago
10 Questions
Note from the author:
Grade 8 Unit 5
Lesson 12: How Much Will Fit?
CC BY 2021 Illustrative Mathematics®
Grade 8 Unit 5
Lesson 12: How Much Will Fit?
CC BY 2021 Illustrative Mathematics®
Lesson: How Much Will Fit?

Two Containers (Warm Up)

1.

Your teacher will show you some containers. The small container holds 200 beans. Estimate how many beans the large jar holds.

What’s Your Estimate?


Your teacher will show you some containers.
2.

If the pasta box holds 8 cups of rice, how much rice would you need for the other rectangular prisms?

3.

If the pumpkin can holds 15 fluid ounces of rice, how much do the other cylinders hold?

4.

If the small cone holds 2 fluid ounces of rice, how much does the large cone hold?

5.

If the golf ball were hollow, it would hold about 0.2 cups of water. If the baseball were hollow, how much would the sphere hold?

Do You Know These Figures?

6.

What shapes are the faces of each type of object shown here? For example, all six faces of a cube are squares.


7.

Which faces could be referred to as a “base” of the object?

Here is a method for quickly sketching a cylinder:

  • Draw two ovals.
  • Connect the edges.
8.

Which parts of your drawing would
be hidden behind the cylinder? Make these parts dashed lines.

9.

Practice sketching some cylinders. Sketch a few different sizes, including short, tall, narrow, wide, and sideways. Label the radius r and height h on each cylinder.

Cool Down: Rectangle to Round

Rectangle to Round

Here is a box of pasta and a cylindrical container. The two objects are the same height, and the cylinder is just wide enough for the box to fit inside with all 4 vertical edges of the box touching the inside of the cylinder.
10.

If the box of pasta fits 8 cups of rice, estimate how many cups of rice will fit inside the cylinder. Explain or show your reasoning.