Math Problem Statement
Solution
To determine the volume of the given figure, we can divide it into two separate rectangular prisms and then find the volume of each prism individually.
-
Bottom rectangular prism:
- Dimensions: 8 in (height) × 5 in (width) × 5 in (depth)
- Volume = cubic inches
-
Top rectangular prism:
- Dimensions: 7 in (height) × 5 in (width) × 1 in (depth)
- Volume = cubic inches
-
Total volume of the figure:
- Volume = cubic inches
So, the total volume of the figure is 235 cubic inches.
Would you like more details on the steps or have any other questions?
Related Questions:
- How do you find the volume of composite figures?
- Can you show the difference between volume and surface area?
- How do you calculate the volume of a prism with different shapes?
- What is the formula for the volume of a cylinder?
- How do you convert volume units from cubic inches to cubic centimeters?
Tip:
When dealing with composite figures, it's often helpful to break them down into simpler shapes, find the volume of each part, and then add or subtract them as needed.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Geometry
Volume of Prisms
Composite Shapes
Formulas
Volume of a rectangular prism = length × width × height
Theorems
-
Suitable Grade Level
Grades 6-8
Related Recommendation
Finding the Volume of Composite Rectangular Prisms in Cubic Feet
Calculate the Volume of a Composite Rectangular Prism Shape
Find the Volume of a Composite Shape with Rectangular Prisms
Calculate the Volume of a Composite Shape with Two Rectangular Prisms
Volume of Two Rectangular Prisms: Step-by-Step Calculation