Solid Geometry

1/13 Online Work- Geometric Solids

Complete the following lesson, taking notes and answering questions. This will be a 2 point grade.

Prisms

A prism is a polyhedron with two parallel polygon bases and rectangular sides connecting those bases.

Prisms

The top and bottom are called bases and the distance between them is called the height or altitude.

Naming Prisms

We name prisms by their bases.

Example: If the bases are triangles, then it is a triangular prism.

Multiple Choice

How many faces does a triangular prism have?

• 4

• 5

• 6

• 7

Multiple Select

Choose the shapes that are prisms.

Multiple Choice

What is the name of this solid?

• Rectangular prism

• Triagonal prism

• Hexagonal prism

• Pentagonal prism

Multiple Choice

Which of these object are prisms?

Pyramids

A pyramid is a polyhedron with ONE polygon base and triangular sides meeting at a common vertex.

Pyramid Parts

The shortest distance from the base to the top vertex is the altitude or height.

The distance from the edge of the base to the top vertex (on one on the trianglular faces) is called the slant height.

Naming Pyramids

We name pyramids by their bases as well.

Example: If the base is a pentagon, then it is a pentagonal pyramid.

Multiple Choice

A pyramid has _______ base(s).

• 1

• 2

Multiple Choice

All of the faces on a pyramid that are NOT the base must be

• rectangles

• triangles

• squares

Multiple Choice

The base of a triangular prism is a

• square

• triangle

• rectangle

Multiple Choice

Name the Solid:

• Triangular Prism

• Triangular Pyramid

• Rectangular Prism

• Rectangular Pyramid

Multiple Choice

Name this polyhedron

• triangular pyramid

• square-based pyramid

• pentagonal pyramid

• pyramid

Multiple Choice

Name the Solid:

• Triangular Prism

• Triangular Pyramid

• Rectangular Prism

• Rectangular Pyramid

Other important Solids

A cylinder has two circular parallel bases connected by a curved rectangle.

A cone has one circular base and the curved side connects at one vertex at the top.

A sphere is a round, ball-like solid with no bases, edges, or vertices.

Multiple Choice

Identify the 3D shape shown

• Cone

• Cylinder

• Sphere

• pyramid

Multiple Choice

What 3D image does this net create?

• Cone
• Cube
• Cylinder
• Circular Pyramid

Multiple Choice

What 3D solid does this net create?

• Cube
• Cone
• Cylinder
• Triangular Pyramid

Surface Area

Surface Area is the sum of the area of each face.

We can make a net, find the area of each shape, then add them together to find the total surface area.

Try it!

Create a net for a 6 inch cube.

Find the area of each box and add them together.

You should get a total surface area of 216 inches squared.

Multiple Choice

Find the Surface Area

• 556 cm²
• 278 cm²
• 680 cm²
• 340 cm²

Multiple Choice

Calculate the surface area.

• 54 m²

• 96 m²

• 99 m²

• 61 m²

Multiple Choice

Calculate the surface area.

• 12.0 m²

• 8.0 m²

• 5.3 m²

• 20.0 m²