3D Geometry Flashcards
How many faces are there in every rectangular solid?
6
What can the faces on a rectangular solid be measured in terms of?
area
When calculating the surface area of a rectangular solid, what do you want to find?
The sum of the area of the 6 faces
Vertices
The corners of the rectangular solid
Vertex
Corners of rectangular solid
One Demensional side is called what ?
An edge
How many vertices are there in a rectangular solid?
8 vertices
One dimensional side is what?
An edge
How many edges are there in a rectangular solid?
12 edges
What is surface area?
Surface area is the exterior area in two dimensions
What is volume?
How much space an object takes up in 3 dimensions
How do you calculate volume?
Take the 3 different edge lengths and multiply them together
How do you calculate surface area?
The length of all of the edges
How many dimensions of a rectangular solid are there?
3
What does volume = for a rectangular solid?
Volume = length * width * height
What is the first step in calculating the volume of a cylinder?
Calculate the area of the circle at the base
What is the volume formula for a cylinder ?
Volume = pi r ^2 * height
What a sign to use a volume formula?
When you see a tank of water or a cylindrical tank, etc.
What is 3 sqrt 2 x 3 sqrt 2 ?
= 18
How many faces are there in a square solid?
6
If you know the area of a square inside a cylinder you can multiply the area of the square by what ? to know how big a square would be to fit in the cylinder
Multiply the area of the square by the number of faces which is always 6! so the answer would be 6 * the area of the square for how big a cube is inside a cylinder
What is the formula for the volume of a cube?
Volume of cube = s ^ 3
What is the formula for the surface area of a cube?
Surface area of a cube = 6 s^2
What is the formula for the volume of a rectangular solid?
Volume = length x width x height
