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Let's break down the problem using the dimensions provided:

1. The block has the following dimensions:
   - Height = 900 mm = 90 cm (since 1 mm = 0.1 cm)
   - Length = 1.8 m = 180 cm (since 1 m = 100 cm)
   - Width = 36 cm

2. Joe wants to cut cubes with side lengths of 18 cm from this block.

3. To determine how many cubes of 18 cm side length can fit into the block, we need to divide each dimension of the block by the side length of the cube (18 cm):
   - Along the height: \( \frac{90 \, \text{cm}}{18 \, \text{cm}} = 5 \)
   - Along the length: \( \frac{180 \, \text{cm}}{18 \, \text{cm}} = 10 \)
   - Along the width: \( \frac{36 \, \text{cm}}{18 \, \text{cm}} = 2 \)

4. Now, multiply these results to find the total number of cubes:
   - \( 5 \times 10 \times 2 = 100 \)

Thus, Joe can cut **100 cubes** from the block, which corresponds to option (C).

Would you like any more details or have any questions? Here are 5 related questions to expand your understanding:

1. What is the formula for calculating the volume of a rectangular block?
2. How would the result change if the cube's side length were different?
3. Can the volume of the block be used to verify the answer in another way?
4. How would cutting the block diagonally affect the number of cubes?
5. If some cubes were imperfect due to cutting errors, how might this change the total count?

**Tip**: Always make sure to convert all measurements into the same unit before performing any calculations!

Joe has a rectangular block of wood with the measurements shown in the diagram. Joe wants to cut the block into cubes with side lengths of 18 cm. How many of these cubes can Joe cut from the block?

In this problem, you will learn how to calculate how many cubes with 18 cm side lengths can fit into a rectangular block with dimensions of 180 cm by 36 cm by 90 cm. This involves division and volume calculation and is suitable for students in Grades 6-8.

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