Question | Answer |
Polyhedron | A three-dimensional figure whose surfaces are polygons. |
Vertex | A point where three or more edges intersect. |
Vertex | A point where three or more edges intersect. |
Net | A two-dimensional pattern that you can fold to form a three-dimensional |
Cube | A polyhedron with six faces |
Euler's Formula | The numbers of faces(F), vertuces (V), and edges (E) of a polyhedron are related by the formula F+V=E+2. |
Isometric drawing | Shows three sides of a figure from a corner view. |
Orthographic drawing | It shows a top view, front view, and right-side view. |
Foundation drawing | Shows the base as a structure and the height of each part. |
Cross section | The inersection of a solid and a plane. |
Literal equation | An equation involving two or more variables. |
Prism | A polyhedron with exactly two congruent, parallel faces, called BASES. Other faces are LATERAL FACES. |
Lateral Area | Is the sum of the areas of the lateral faces. |
Surface Area | Is the sum of the lateral area and the area of the two bases. |
Lateral Area of a Prism | The lateral area of a right prism is the product of the perimeter of the base and the height.
L.A.=ph |
Surface Areas of a Prism | The surface area of a right prismis the sum of the lateral area and the areas of the two bases.
S.A.=L.A. + 2B |
Lateral Area of a Cylnder | The lateral area of area of a right prism is the product of the perimeter of the base and the height.
L.A.=ph |
Surface Area of a Cylinder | The surface area of a right cylinder is the sum of the lateral area and the areas of the two bases.
S.A.=L.A.+ 2B or S.A.= 2pirh =2pir^2 |
Pyramid | A polygon which one face (the base) can be any polygon and the other faces (the lateral faces) are triangles that meet at a common vertex. |
Altitude of a Pyramid (Height) | The perpendicular segement from the vertex to the plane of the base. |
Slant Height | The length of the altitude of a lateral face of the pyramid. |
Lateral Area of a Regular Pyramid | The lateral area of a regular pyramid is half the product of the perimeter of the base and the slant height.
L.A. = 1/2 pl |
Surface Area of a Regular Pyramid | The surface area of a regular pyramid is the sum of the lateral area and the area of the base.
S.A.= L.A. + B |
Lateral of a Cone | The lateral area of a right cone is half the product of the circumference of teh base and the slant height.
L.A. = 1/2 2 pi l or L.A.= pi(r)(l) |
Surface Area of a Cone | The surface area of a right cone is the sum of the lateral area and the area of the base.
S.A.= L.A. + B |
Volume | The space that a figure occupies. |
Cavalieri's Principle | If two space figures have the same height and the same cross-sectional area at every level, then they have the same volume. |
Volume of a Prism | The volume of a prism is the product of the area of a base and the height of the prism.
V=Bh |
Volume of a Cylinder | The volume of a cylinder is the product of the area of the base adn height of the cylinder.
V-Bh or V=pi(r^2)(h) |
Composite space figure | A three-dimensional figure that is the combination of two or more simplier figures. |
Volume of Pyramids | The volume of a pyramid is one third the product of the area of the base and the height of the pyramid.
V=(1/3)Bh |
Volume of a Cone | The volume of a cone is one third the product of the area of the base and the height of the cone.
V=(1/3)Bh or V=(1/3)pi(r^2)(h) |
Sphere | The set of all points in space equidistant from a given point called the center. |
Radius | A segment that has one endpoint at the center and the other endpoint on the sphere. |
Diameter | A segment passing through the center with endpoints on the sphere. |
Great Circle | If the center of the circle is also the center of the sphere, the circle is called the great circle. |
Hemispheres | A great circle divides a sphere into two hemispheres. |
Surface Area of a Sphere | The surface area of a sphere is four times the product of pi and the square of the radius of the sphere.
S.A.= 4 pi r^2 |
Volume of a Sphere | The volume of a sphere is four thirds the product of pi and the cube of the radius of the sphere.
V= (4/3) pi r^3 |
Similar solids | The same shape and all their corresponding dimensions are proportional. |