find the volume of a box where heigh=1.5, width=1.5 and length is 2. The calculate the volume of an and adjacent rectangular shape where width=0.5 and length=2. Add the two volumes together

To find the total volume, we need to calculate the volume of the box and the adjacent rectangular shape separately, then sum them.

1. **Volume of the box**:
   \[
   \text{Volume} = \text{height} \times \text{width} \times \text{length}
   \]
   \[
   \text{Volume}_{\text{box}} = 1.5 \times 1.5 \times 2 = 4.5 \, \text{cubic units}
   \]

2. **Volume of the adjacent rectangular shape**:
   \[
   \text{Volume} = \text{width} \times \text{length} \times \text{height}
   \]
   Since height is not provided, we can assume it to be the same as the box height (1.5) for consistency.
   \[
   \text{Volume}_{\text{adjacent}} = 0.5 \times 2 \times 1.5 = 1.5 \, \text{cubic units}
   \]

3. **Total volume**:
   \[
   \text{Total Volume} = \text{Volume}_{\text{box}} + \text{Volume}_{\text{adjacent}} = 4.5 + 1.5 = 6.0 \, \text{cubic units}
   \]

Thus, the total volume of the two shapes is **6.0 cubic units**.

Would you like any further details or explanations? Here are some related questions to consider:

1. What would happen to the total volume if the height of the adjacent shape is increased?
2. How do you calculate the surface area of the box?
3. What is the effect of changing the dimensions of the box on its volume?
4. Can you explain how to visualize the two shapes together?
5. How would the volume change if the width of the box was doubled?

**Tip**: Always make sure to keep track of the units when calculating volumes to ensure accuracy.

find the volume of a box where height=1.5, width=1.5 and length is 2. Then calculate the volume of an adjacent rectangular shape where width=0.5 and length=2. Add the two volumes together

Discover how to calculate the total volume of a box with dimensions height=1.5, width=1.5, and length=2, along with an adjacent shape of width=0.5 and length=2. The total volume comes out to be 6.0 cubic units. Perfect for students in Grades 5-7.

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