Math Problem Statement
What is the surface area of this rectangular prism, in square meters?
Solution
To find the surface area of the rectangular prism shown in the image, we use the formula for the surface area of a rectangular prism:
where:
- is the length,
- is the width,
- is the height.
From the image, the dimensions are:
- ,
- ,
- .
Now, let's calculate each term:
Adding them together:
Thus, the surface area of the rectangular prism is 302 square meters.
Would you like a detailed explanation or have any questions?
Here are 5 related questions you might find interesting:
- How do you calculate the volume of this rectangular prism?
- What would the surface area be if the height were doubled?
- If the width was decreased by 2 meters, how would the surface area change?
- How does the surface area formula change for a cube?
- How would you calculate the diagonal of the rectangular prism?
Tip: When calculating the surface area of 3D shapes, always ensure you are considering all six faces (or surfaces) properly.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Geometry
Surface Area of 3D Shapes
Formulas
Surface Area = 2lw + 2lh + 2wh
Theorems
None applicable
Suitable Grade Level
Grades 5-8
Related Recommendation
Calculating the Surface Area of a Rectangular Prism
Surface Area Calculation for Rectangular Prism (13mm x 11mm x 2mm)
Surface Area Calculation of a 9x4x3 Rectangular Prism
Surface Area Calculation for a Rectangular Prism with Given Dimensions
Calculate the Total Surface Area of a Rectangular Prism with Dimensions 5mm, 2mm, 7mm