Math Problem Statement
Translate the sentence into an equation or formula.
The surface area SA of a rectangular prism is 2 times the sum of the width (w) times height (h), and length ( 𝓁 ) times width, and length times height.
Solution
The sentence can be translated into the following formula for the surface area (SA) of a rectangular prism:
Where:
- is the surface area
- is the width
- is the height
- is the length
This formula accounts for the fact that a rectangular prism has six faces, with three pairs of opposite faces having equal areas.
Would you like more details or have any questions?
Here are 5 related questions:
- How do you derive the surface area of a rectangular prism step by step?
- How does the surface area formula change for a cube?
- What is the surface area if , , and ?
- How does the formula for surface area differ from the formula for volume?
- Can you express the surface area formula for a cylinder?
Tip: When calculating surface area, always remember to multiply the areas of each pair of faces by 2 since each pair occurs twice in the shape.
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Math Problem Analysis
Mathematical Concepts
Geometry
Surface Area
Rectangular Prism
Formulas
SA = 2(w * h + ℓ * w + ℓ * h)
Theorems
-
Suitable Grade Level
Grades 6-8