*23. For a certain type of rice, about 50 grains fill. 1-cm-by-1-cm-by-1-cm cube. Refer to this type of rice in all parts of this problem. a. Describe the dimensions of a container that you could use to show your students 1 million grains of rice_ Explain. Give a sense of approximately how big this container is by describing it as being about as big as a familiar object. b. Describe the dimensions of a container that you could use to show your students 1 billion grains of rice. Explain. Give a sense of approximately how big this container is by describing it as being about as big as a familiar object. c. Describe the dimensions of a container that you could use to show your students 1 trillion grains of rice. Explain. Give a sense of approximately how big this container is by describing it as being about as big as a familiar object.

Advanced Engineering Mathematics
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ISBN:9780470458365
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Chapter2: Second-order Linear Odes
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*23. For a certain type of rice, about 50 grains fill.

1-cm-by-1-cm-by-1-cm cube. Refer to this type of rice in all parts of this problem.

a. Describe the dimensions of a container that you could use to show your students 1 million grains of rice_ Explain. Give a sense of approximately how big this container is by describing it as being about as big as a familiar object.

b. Describe the dimensions of a container that you could use to show your students 1 billion grains of rice. Explain. Give a sense of approximately how big this container is by describing it as being about as big as a familiar object.

c. Describe the dimensions of a container that you could use to show your students 1 trillion grains of rice. Explain. Give a sense of approximately how big this container is by describing it as being about as big as a familiar object.

 

Expert Solution
Step 1: For Question a:

a. To show your students 1 million grains of rice, you would need a container that can hold 1 million 1-cm-by-1-cm-by-1-cm rice cubes. Since each cube has a volume of 1 cubic centimeter, the total volume needed for 1 million grains would be 1 million cubic centimeters or 1,000,000 cm³.

To give you a sense of how big this container is, it's roughly equivalent to a cube with sides of about 100 centimeters (or 1 meter) each. This is approximately the size of a small refrigerator or a large storage bin.

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