(a) A cube has six square faces and twelve edges. The length of each edge is 12.

Question

(a) A cube has six square faces and twelve edges. The length of each edge is 12.3 cm. Each of the six faces has an outward-pointing area vector. What is the sum of the six area vectors? (b) A triangular prism has five faces. The two parallel faces are equilateral triangles, and the other three faces are squares. This solid has nine edges, and the length of each edge is 33.2 cm. Each of the five faces has an outward-pointing area vector. What is the sum of the five area vectors?

1.5 Four Gaussian surfaces are shown, along with four charges. The banana is inside the cylinder, the penguin is inside the sphere, and one end of the cylinder is inside the sphere. Determine the electric flux through the surface of (a) the banana (b) the cylinder, (c) the sphere, and (d) the penguin.

1.6 A very tall flagpole, temporarily charged uniformly by lightning, generates an outward-directed electric field of strength 1.80

Explanation / Answer

It looks similar to this:

...._________
.../............. /|
../............ / .|
/________/ ..|
| ............|... |
| ............|.. /
| ............| /
|_______|/

A cube is a solid with 4 faces on the sides, one on the top and bottom, so 6 all together. There is a famous formula from Euler that tells us how the edges, vertices and faces all relate:
Euler tells us the F+V-E = 2 where F is number of faces, V the number of vertices and E the number of edges.
For the cube we have 6 faces, 8 vertices and 12 edges.

6 + 8 - 12 = 2



Number of faces of a cube = 6
number of vertices = 8
number of edges = 12

Remember,
faces are the flat sides.
Edges are the lines where two of the faces meet.
Vertices are the corners where three or more of the faces meet.

Faces: 6 Edges: 8 Vertices: 12
A cube has 6-faces,,,12-edges,,,8vertices
6 faces, 8 vertices, and 12 edges
it has 6 faces, 8 vertices and 12 edges.
vertices- 8
edges- 12
faces- 6

6 faces
12 vertecies

Actually, 8 vertices.

1.6)

E(x)=k/(2*pi*eo*x)

or 1.8*10^8=k*2*9*10^9/(0.11)

or k=1.1*10^-3 C/m It looks similar to this:

...._________
.../............. /|
../............ / .|
/________/ ..|
| ............|... |
| ............|.. /
| ............| /
|_______|/

A cube is a solid with 4 faces on the sides, one on the top and bottom, so 6 all together. There is a famous formula from Euler that tells us how the edges, vertices and faces all relate:
Euler tells us the F+V-E = 2 where F is number of faces, V the number of vertices and E the number of edges.
For the cube we have 6 faces, 8 vertices and 12 edges.

6 + 8 - 12 = 2



Number of faces of a cube = 6
number of vertices = 8
number of edges = 12

Remember,
faces are the flat sides.
Edges are the lines where two of the faces meet.
Vertices are the corners where three or more of the faces meet.

Faces: 6 Edges: 8 Vertices: 12
A cube has 6-faces,,,12-edges,,,8vertices
6 faces, 8 vertices, and 12 edges
it has 6 faces, 8 vertices and 12 edges.
vertices- 8
edges- 12
faces- 6

6 faces
12 vertecies

Actually, 8 vertices.

1.6)

E(x)=k/(2*pi*eo*x)

or 1.8*10^8=k*2*9*10^9/(0.11)

or k=1.1*10^-3 C/m

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