Mathematics Stack Exchange
Mathematics Stack Exchange

Questions tagged [solid-geometry]

In mathematics, solid geometry was the traditional name for the geometry of three-dimensional Euclidean space. (Ref: http://en.m.wikipedia.org/wiki/Solid_geometry)

In mathematics, solid geometry was the traditional name for the geometry of three-dimensional Euclidean space. Reference: Wikipedia.

Stereometry deals with the measurements of volumes of various solid figures (three-dimensional figures) including pyramids, cylinders, cones, truncated cones, spheres, and prisms.

924 questions
0
votes
2 answers

If we cut a prism with an oblique plane , find the sum of distances of vertices from base given that...

We cut a prism having a 6-gon regular polygon with side length 1 as base (see the following figure).If the distances of the vertices of the oblique cutter plane from the base are $2,3,x,y,11,z$ calculate $x+y+z$. I really have no idea for this!
Hamid Reza Ebrahimi
  • 3,445
  • 13
  • 41
0
votes
1 answer

Surface area of tetrahedron bigger than product of diagonals

Let $ABCD$ be a tetrahedron with $AB=6,BC=9,CD=7$, and $DA=2$. Let $S$ be the surface area of the tetrahedron. Prove that $S>AC\cdot BD$. By triangle inequality we have $AC
user336268
  • 2,339
0
votes
0 answers

Using Laser Distance Meter to calculate surface area of roof with minimum measurements required

Equipped with a Laser Distance Meter I am trying to calculate the total area of roofs (flat surfaces, not necessarily rectangular), and I am wondering how much data I need to collect in order to do this. To make the data collection as simple as…
Johny Skovdal
  • 101
0
votes
1 answer

How to find the equation of the sphere with radius $3$ that touches all three coordinate planes in the positive octant?

How to find the equation of the sphere with radius $3$ that touches all three coordinate planes in the positive octant? Can you help me solve this problem?
nervana
  • 1
0
votes
0 answers

Finding the base radius of the cone.

A solid cone has a lateral surface area of $100\pi$ square centimeters and a total surface area of $269\pi$ square centimeters. Find the base radius of the cone. I would need to find the radius or height to solve this, but all it gives me is the…
AnnieFireLovly
  • 1
0
votes
1 answer

3D geometry (a bit thoughtful)

When we are actually finding the eqn of a plane parallel to the x axis or any other axis then why do we make the direction ratio of respective axis to be zero ? I mean for example, you represent for a plane parallel to x axis as by+cz=d where a=0…
satyatech
  • 517
0
votes
1 answer

perpendicular on a plane

If the plane $lx+my+nz=p$ where $l^2+m^2+n^2=1$ meets the coordinate axes in X, Y, Z and G is the centroid of the triangle XYZ and if the perpendicular to the plane at G, meets the coordinate planes in A, B, C, then prove that…
user3575652
  • 347
0
votes
1 answer

Ratio of an isosceles triangle to its altitude is 3:4. find the measures of the angles

The ratio of an isosceles triangle to its altitude is 3:4. find the measures of the angles of triangle? So, I have the altitude formula where $h$= $\sqrt s^2-(\frac{s}{2})^2$ so I was thinking when I have the altitude the triangle will be into $2$…
Mickey
  • 760
-1
votes
1 answer

Pyramid problem - find the height of the pyramid by given edges and a side from the base

The base of a pyramid is a right triangle with the longest side = 12cm. All non base edges are also equal to 12cm. And how can I find the height of the pyramid?
user1113314
  • 155
-1
votes
1 answer

Exact definition of regular pyramid

I need a complete definition of regular pyramid , ie, when we can called some pyramid "a regular pyramid"? Is is about it's base only? Or it also about the apex of pyramid? Thanks for help
user373141
  • 2,503
-3
votes
1 answer

question in solid geometry

How to find point A belonging to the plane given by the equation $x+y-2z=3$ as the line segment BA is perpendicular to the plane (where B is given by (2,1,6) ).
M.student
  • 3
1 2 3 4 5
6