8.4 Volume and Surface Area

Question 1

Solid geometry

Answer 1

The study of 3D solid figures

Question 2

Space figures

Answer 2

3D solid figures

Question 3

Volume

Answer 3

A measure of capacity of a 3D figure (units^3)

Question 4

Surface area

Answer 4

The sum of the areas of the surfaces of a 3D figure (area of outside surfaces)

Question 5

Rectangular solid

Answer 5

V = lwh
SA = 2lw + 2wh + 2lh

Question 6

Cube

Answer 6

V = s^3
SA = 6s^2

Question 7

Cylinder

Answer 7

V = (pi)r^2h
SA = 2(pi)rh + 2(pi)r^2

Question 8

Cone

Answer 8

V = 1/3(pi)r^2h
SA = (pi)r^2 + (pi)rSQR(r^2 + h^2)

Question 9

Sphere

Answer 9

V = 4/3(pi)r^3
SA = 4(pi)r^2

Question 10

Polyhedron

Answer 10

A closed surface formed by the union of polygonal regions

Question 11

Face

Answer 11

Polygonal region

Question 12

Edge

Answer 12

Line segment formed by the intersection of two faces

Question 13

Vertex

Answer 13

The point at which two or more edges intersect

Question 14

Relationship between vertex, face, and edge

Answer 14

Number of vertices - number of edges + number of faces = 2

Question 15

Platonic solid (regular polyhedron)

Answer 15

A polyhedron whose faces are all regular polygons of the same size and shape

Question 16

Prism

Answer 16

A special type of polyhedron whose bases are congruent polygons and whose sides are parallelograms
V = bh (b = area of base)

Question 17

Lateral faces

Answer 17

Parallelogram regions of the prism

Question 18

Right prism

Answer 18

If the lateral faces are rectangles

Question 19

Pyramids

Answer 19

A type of polyhedron with only one base and triangular lateral faces
V = 1/3bh