A net is a two-dimensional picture of a three-dimensional figure that can be folded to form the figure. If the net is a prism there will be two congruent shapes, the bases, and the same number of lateral faces as the number of sides of the base of the prism.

Examples:

Answer the following questions. Click on the blank spaces to check your answers.

• The net of the prism above has Interactive popup. Assistance may be required. _______________ square bases and lateral faces.
• The prism of the net above is called a Interactive popup. Assistance may be required. _______________ . cube or square prism

  

• The bases of the above net are Interactive popup. Assistance may be required. _______________ hexagons .
• There are Interactive popup. Assistance may be required. _______________ 6 lateral faces.



• The bases of the above net are Interactive popup. Assistance may be required. _______________ squares .
• This is a Interactive popup. Assistance may be required. _______________ square prism with Interactive popup. Assistance may be required. _______________ 4 lateral faces.
• The formula for the volume of a prism is Interactive popup. Assistance may be required. _______________ V = B ∙ h .
• Find the area of the base. Interactive popup. Assistance may be required. _______________ B = 4∙4 = 16 square cm
• The height is Interactive popup. Assistance may be required. _______________ 10 cm .
• Find the volume Interactive popup. Assistance may be required. _______________ V = B∙h = 16 ∙10 = 160 cubic cm.

The net of a triangular pyramid is shown below. Notice there is one triangular base and three triangular lateral faces.

• The formula for the volume of a pyramid is Interactive popup. Assistance may be required. _______________ V = 1 3 B ∙ h .
• The formula for the area of the base is Interactive popup. Assistance may be required. _______________ B = 1 2 b ∙ h .
• Find the area of the base.Interactive popup. Assistance may be required. _______________ B = 1 2 ∙ 6 ∙ 5 = 15 square inches
• If the height of the pyramid is 4 inches, find the volume Interactive popup. Assistance may be required. _______________ V = 1 3 B ∙ h = 1 3 (15) ∙ 4 = 20 cubic inches.