Okay, let's say you have an infinitely long line segment.(adsbygoogle = window.adsbygoogle || []).push({});

Using area and volume formulas for different shapes, would you get an infinitely large shape that the formula was for in the first place?

Area:

For rectangles, would you get an infinitely large rectangle with A = l * w?

What about triangles with 1/2 * b * h?

What about squares with l^2

what about rombi with A = b * h?

what about trapezoids with A = ((b1 + b2)*h)/2?

what about pentagons with A = 5/2 * l * a(apothem)?

hexagons with A = (3√3 s2)/ 2?

what about other regular polygons with Area = (a(apothem) x p(perimeter))/2?

what about ellipses with π * vertical radius * horizontal radius?

What about circles with π * r^2

Volume:

What about spheres with V = ⁴⁄₃πr³?

What about triangular prisms with 1/2 x b x h x l?

what about other prisms with V = area of base * l (yes that includes the cylinder at the infinite end)?

what about dodecahedrons with (15+7×√5)/4 × (Edge Length)^3

what about octahedrons with (√2)/3 × (Edge Length)^3

what about Icosahedrons with 5×(3+√5)/12 × (Edge Length)^3

What about toruses that have holes with 2 × π^2 × R(radius of hole) × r^2(radius of circular cross section)?

What about cones with π × r^2 × (h/3)?

**Physics Forums - The Fusion of Science and Community**

# Curiosity about infinity in geometry(Not homework just curious)

Know someone interested in this topic? Share a link to this question via email,
Google+,
Twitter, or
Facebook

- Similar discussions for: Curiosity about infinity in geometry(Not homework just curious)

Loading...

**Physics Forums - The Fusion of Science and Community**