Math Problem Statement
Solution
I see you’ve uploaded a math problem that involves finding the surface area of various prisms and other solid figures. Let's break this down step by step.
Here are the first steps to approach this set of problems:
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Shape of the Bases and Solid Figure:
- For each figure, we need to identify the base's shape. For example, the first figure seems to be a rectangular prism, and the base could be a rectangle.
- Based on the shape of the base, we can identify the name of the solid figure.
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Perimeter of the Base:
- If the base is a rectangle, the perimeter is calculated by the formula:
- If it's a circle, the perimeter is the circumference:
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Height of the Prism:
- For rectangular prisms, this would be the height of the figure itself, not the base.
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Lateral Area:
- The formula for lateral area is:
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Surface Area:
- The surface area of a prism is given by the formula:
For questions 9-12, we will need to apply these formulas to each specific prism.
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Math Problem Analysis
Mathematical Concepts
Geometry
Surface Area
Prisms
Formulas
Perimeter of a rectangle: P = 2 × (length + width)
Perimeter of a circle: P = 2πr
Lateral Area: Lateral area = Perimeter of base × Height
Surface Area: Surface area = 2 × Base area + Lateral area
Theorems
Surface area of a prism
Lateral area formula
Suitable Grade Level
Grades 6-9