Volume and Area. Definitions Volume is… The measurement of the space occupied by a solid region; measured in cubic units Lateral Area is… The sum of the.

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Presentation transcript:

Volume and Area

Definitions Volume is… The measurement of the space occupied by a solid region; measured in cubic units Lateral Area is… The sum of the areas of the surfaces of a solid figure NOT including the base(s); measured in square units. Surface or Total area is… The sum of the areas of the surfaces of a solid figure including the base(s); measured in square units.

________ Prism width height length To find volume: To find surface area: To find lateral area:

Example 4 cm 8 cm 3 cm Find the volume and area.

_________ Pyramid Length Width Height To find the volume: To find the Surface Area: To find the Lateral Area:

Example 6 in 8 in 3 in Find the volume & area.

Sphere Radius To find the surface area. To find the volume:

Example 8 m Find the volume & area.

Cylinder height radius

Example 7 ft 5 ft Find the volume & area. Use 3.14 for π.

Cone height radius To find volume: To find the lateral & surface area:

Example Find the volume & area. 6 cm 3 cm

Graded Exit Ticket The company that produces Sweet Crunch cereal wants to produce a family-sized box of its cereal. The regular sized box is a cube, and each side measures 8 in long. The company wants to double the length of the sides of the regular box to create the family-sized box of cereal. Should the company just double the price of the cereal? Why or why not.

Answer 8 in 16 in Volume 1 V = lwh V = (8)(8)(8) V = 512 cubic in V = lwh V = (16)(16)(16) V = 4096 cubic in Volume 2 The new box of cereal holds 8 times more cereal. Therefore, the company should more than double the price.