←All concepts
Concept · Geometry & Algebra
Spatial rectangular coordinates
point location (axes/coordinate planes), 3D distance formula, symmetry across axis/plane/origin
Practice this concept→
A Geometry & Algebra set, untimed
Nothing named here yet.
No misconceptions are logged for this concept, so there is nothing named to trip you up. Practice it, and anything that does catch you will be added.
Key formulas
9- 3D point P(x,y,z)3D distance AB = √(x2−x1)2 + (y2−y1)2 + (z2−z1)2
- Cuboid volume = lwhsurface = 2(lw+lh+wh)cube volume = s3, surface = 6s2
- CylinderV = πr2 h, S = 2πr2 + 2πrh
- ConeV = (1/3)πr2 h, lateral S = πrl, total S = πrl + πr2, slant l = √r2+h2
- SphereV = (4/3)πR3, S = 4πR2
- Cone lateral unrolls to a sectorarc length 2πr = l·(central angle)base radius r = l·(angle)/(2π)
- Tetrahedron from coordinatesV = (1/6)|scalar triple product|pyramid V = (1/3)·base·height
- Oblique (cavalier) projection area ratioS' = (√2/4) S
- Equilateral triangle of side sarea = (√3/4)s2
Shaky underneath?
If the concept underneath still feels loose, patch it here before coming back to CSCA questions.
FoundationsPrecalculus bridgeAlgebra 2 foundations