Surface area and volumen with base 10 blocks.

This activity presents the use of base 10 blocks to find surface area and volume of solids made of prisms. It may be taught with these manipulatives.

Students learn how to project the views and how to get the minimum amount of these views to represent the solid figure. They learn how to do the isometric view and how to get the figure from the views.

Lesson's Content

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Lesson's Glossary

Edge
A segment that helps to make up a face.

Face
A polygonal region of a surface.

Hidden lines
Broken lines used to signify lines that normally wouldn't be seen in a drawing.  

L.A.
Lateral area.

Lateral area
The area of the lateral surface of a solid.

Lateral edge
A segment whose endpoints are corresponding points of a cylindrical solid's bases, or whose endpoints are the vertex of a conic solid and a vertex of its base.

Lateral faces
The faces of the lateral surface of a prism, or a face of a pyramid that is not a base.

Lateral surface
- the surface not included in the base (s).

Parallelepiped
A prism whose opposite faces are all parallelograms and congruent (in pairs).

Perspective
Feeling of depth.

Perspective drawing
A drawing in which, in order to show perspective, oblique parallel lines will meet.

Polyhedron
A three-dimensional surface which is the union of polygonal regions and has no holes.

Prism
It is a polyhedron that has two congruent and parallel faces, called bases. The remaining faces, which are parallelograms are called lateral faces. The altitude is the perpendicular segment whose endpoints are at the bases. The length of the altitude is the height of the prism. A right prism is one with all lateral faces rectangles. An oblique rectangle has some to be nonrectangular.  

Right prism
A prism whose direction of sliding is perpendicular to the plane of the base.

Solid
The union of the surface and the region of space enclosed by a 3-D figure.

Solid geometry
The study of figures in three-dimensional space.

Space
The set of all possible points; made up of infinite planes.

 Surface
The boundary of a 3-D figure.

Surface area
The total area of the surface of a solid.

Unit cube
Unit of measuring volume.

Interactive Geometric Applets: Relevant Theorems.

Prisms get their name from the polygon in the base. This interactive geometric applet

is about an hexagonal prism. It shows the solution for the lateral area, surface area,

and volume. You may drag the sliders for different values of "r", and "h".