Math Problem Statement
resuelve
Solution
To find the surface area of this rectangular prism, we’ll use the formula for the surface area of a rectangular prism:
where:
- is the length,
- is the width, and
- is the height.
From the image:
- Length () = 8 cm
- Width () = 5 cm
- Height () = 3 cm
Now, substitute these values into the formula:
Calculate each part inside the parentheses:
Now add these results:
Finally, multiply by 2:
So, the surface area of the prism is 158 cm².
Would you like further details or have any questions?
Here are some related questions to expand on this problem:
- What is the formula for the volume of a rectangular prism?
- How would the surface area change if the length were doubled?
- Can we find the surface area of a cube with the same edge length?
- How do you find the lateral surface area of a rectangular prism?
- What real-world objects resemble a rectangular prism in shape?
Tip: When calculating surface areas, carefully multiply each dimension pair separately before adding and doubling to avoid errors.
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Math Problem Analysis
Mathematical Concepts
Geometry
Surface Area Calculation
Formulas
Surface Area of a Rectangular Prism: 2(l × w + l × h + w × h)
Theorems
-
Suitable Grade Level
Grades 5-7
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