Math Problem Statement
Solution
The image contains calculations related to rectangular prisms, including volume and surface area computations. Here's an analysis and breakdown:
Volume Calculation
The formula for the volume of a rectangular prism is: From the image:
- ,
- ,
- .
The volume calculation shown is:
This calculation is correct.
Surface Area Calculation
The formula for the surface area () of a rectangular prism is: Breaking it into components:
- ,
- ,
- .
Substituting:
However, in the image, the surface area is listed as 494 mm². This discrepancy suggests that an additional value may have been added incorrectly. The correct surface area should be 454 mm².
Second Volume Calculation
For the prism with:
- ,
- ,
- ,
The volume is calculated as:
This calculation is also correct.
Key Observations:
- Volume calculations are accurate.
- There may be an error in the surface area computation for the first prism.
Would you like me to:
- Recalculate surface area step-by-step for clarification?
- Explain formulas for related 3D shapes?
- Discuss real-life applications of these calculations?
- Show how to double-check calculations for errors?
- Provide tips for organizing geometry solutions?
Tip: Always double-check calculations by substituting intermediate results into the formula.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Volume of rectangular prisms
Surface area of rectangular prisms
Formulas
Volume: V = L × W × H
Surface Area: SA = 2(LW + LH + WH)
Theorems
-
Suitable Grade Level
Grades 6-8
Related Recommendation
Surface Area and Volume Calculations for Rectangular Prisms
Calculate Volume and Surface Area of a Rectangular Prism - Example
Calculate the Surface Area and Volume of a Rectangular Prism
Calculate Volume and Surface Area of a Rectangular Prism - 7 cm x 4 cm x 3 cm
Calculate Surface Area and Volume of a Rectangular Prism