Math Problem Statement
Solution
Let's break down the information provided in the image and solve the problem step by step.
Given:
-
Figure 1: A rectangular prism with dimensions:
- Length:
- Width:
- Height:
-
Figure 2: A second rectangular prism with dimensions:
- Length:
- Width:
- Height:
Step 1: Measures of sides A, B, C
From the diagram:
- Side A: This is the length of Figure 2. From the diagram, Side A = 8 cm.
- Side B: This is the height of Figure 2, which is 3 cm.
- Side C: This is the width of Figure 1, which is 2 cm.
Step 2: Volume calculations
The volume of a rectangular prism is given by the formula:
-
Volume of Figure 1:
-
Volume of Figure 2:
Step 3: Total volume
The total volume is the sum of the volumes of the two figures:
Summary of answers:
- Measure of Side A:
- Measure of Side B:
- Measure of Side C:
- Volume of Figure 1:
- Volume of Figure 2:
- Total Volume:
Would you like further details or have any questions?
Related questions:
- What would happen if one of the dimensions of Figure 1 doubled?
- How would the total volume change if Figure 2’s height increased by 2 cm?
- What is the surface area of Figure 1?
- How does changing the width of Figure 2 affect its volume?
- Can you calculate the diagonal of Figure 1?
Tip:
Always ensure that units are consistent when performing volume calculations to avoid errors.
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Math Problem Analysis
Mathematical Concepts
Geometry
Volume of Rectangular Prisms
Formulas
Volume = Length × Width × Height
Theorems
-
Suitable Grade Level
Grades 4-6
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