Math Problem Statement
Solution
The diagram in the problem shows a composite shape that consists of two rectangular prisms forming an L-shape. To calculate the volume of the robot, we need to calculate the volume of each rectangular section separately and then add them together.
Here are the steps:
Step 1: Identify the two rectangular prisms.
-
Base rectangular prism:
- Dimensions:
- Volume:
-
Vertical rectangular prism (attached on top of the base):
- Dimensions:
- Volume:
Step 2: Add the volumes of the two sections.
Step 3: Consider that there are two pieces.
Since the robot will have two pieces like the one shown, the total volume will be:
Thus, the volume of the robot is 320 cm³.
Would you like further details or have any other questions?
Here are 5 related questions to expand on this:
- How would the volume change if the height of the vertical section increased?
- What is the surface area of the composite shape?
- How do we calculate the volume of irregular shapes?
- How would the total volume change if three pieces were used instead of two?
- Can we break down other 3D composite shapes into simpler shapes to calculate volume?
Tip: When calculating the volume of a composite shape, it's useful to divide the shape into simpler, familiar shapes (like cubes or prisms) for easier computation.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Geometry
Volume
Composite Shapes
Formulas
Volume of a rectangular prism = length × width × height
Theorems
-
Suitable Grade Level
Grades 6-8
Related Recommendation
Find the Volume of a Composite Shape with Rectangular Prisms
Calculate the Volume of a Composite Shape with Two Rectangular Prisms
Find the Volume of a Composite Figure with Rectangular Prisms
Calculate the Volume of a Composite Rectangular Prism Shape
Volume Calculation for Compound Shapes with Rectangular Prisms