Volume and Surface Area Formulas for 3D Shapes
This page presents a comprehensive guide to calculating the volume and surface area of various three-dimensional shapes. The information is presented in a visually appealing format with diagrams and formulas clearly displayed.
The page begins with an introduction to the concept of volume.
Definition: The volume of a 3D shape is defined as the space inside it.
The document then proceeds to outline formulas for different shapes:
- Cuboid:
Volume: L x W x H
Surface Area: 2(lw + hw + lh)
Highlight: For a cuboid, the volume is calculated by multiplying length, width, and height, while the surface area involves doubling the sum of the areas of all faces.
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Pentagonal Prism:
Surface Area: 5ab + 5bh
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Prism (General):
Volume: Area of cross-section x Length
Vocabulary: A prism is a 3D shape with the same cross-section throughout its length.
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Rectangular Prism:
Surface Area: 2(wl + lh + hw)
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Cylinder:
Surface Area: 2πrh + 2πr²
Volume: πr²h
Example: For a cylinder with radius r and height h, the volume is calculated using πr²h, where π is approximately 3.14159.
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Triangular Prism:
Surface Area: bh + (s1 + s2 + b)H
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Pyramid:
Surface Area: PL + B
Vocabulary: In the pyramid formula, PL represents the perimeter of the base multiplied by the slant height, and B is the area of the base.
The page also includes a note about practice questions being available at the back of the document, encouraging readers to apply their understanding of these volume and surface area formulas.
Highlight: The document is authored by Nicemi Ilori, as noted at the bottom of the page.
This comprehensive guide serves as an excellent resource for students studying volume surface area formulas 3d shapes gcse or volume surface area formulas 3d shapes grade 7, providing a clear and concise overview of essential geometric calculations.
