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# Solid Figures: Volume and Surface Area - PowerPoint PPT Presentation

Solid Figures: Volume and Surface Area. Let’s review some basic solid figures…. Sphere. A sphere is a ball. It has no faces, edges, or vertices. Cube. A cube is like a box. It has six faces, six edges, and four vertices. All of a cube’s faces and edges are equal. Rectangular Prism.

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### Solid Figures: Volume and Surface Area

• A sphere is a ball.

• It has no faces, edges, or vertices.

• A cubeis like a box.

• It has six faces, six edges, and four vertices.

• All of a cube’s faces and edges are equal.

• A rectangular prism is also like a box.

• It has six faces, six edges, and four vertices.

• All of its faces are either squares or rectangles.

• A cylinder is like a soup can.

• It has two circular faces on each end, but no edges or vertices.

• You could say that a cylinder is a “circular prism.”

• We’re going to talk about how to find the volume of rectangular prisms and cylinders.

• The formula for finding the volume of a rectangular prism is volume = length xwidth xheight, or V = l x w xh.

• Suppose you have a rectangular prism that is 9 inches long, 6 inches wide, and 5 inches high.

• What is the volume of this rectangular prism?

• V = 9 x 6 x 5

• V = 270 cubic inches

• The formula for finding the volume of a cylinder is pi x radius squared x height.

• Suppose you have a cylinder with a height of 8 centimeters and a radius of 12 centimeters.

• What is the volume of this cylinder?

• V = 3.14 x (8)^2 x 12

• V = 2,411.52 cubic centimeters

• Now we’re going to talk about how to find the surface area of rectangular prisms and cylinders.

• The formula for finding the surface area of a rectangular prism is 2(length x width) + 2(length x height) + 2(width x height).

• Suppose you have a rectangular prism that is 7 meters long, 3 meters high, and 4 meters wide.

• What is the surface area of this rectangular prism?

• SA = 2(7 x 4) + 2(7 x 3) + 2(4 x 3)

• SA = 2(28) + 2(21) + 2(12)

• SA = 56 + 42 + 24

• SA = 122 square meters

• The formula for finding the surface area of a cylinder is SA = (2 x pi x radius squared) + (2 x pi x radius x height)

• Suppose you have a cylinder with a height of 6 feet and a radius of 2 feet.

• What is the surface area of this cylinder?

• SA = (2 x pi x 2^2) + (2 x pi x 2 x 6)

• SA = (2 x 3.14 x 4) + (2 x 3.14 x 12)

• SA = 25.12 + 75.36

• SA = 100.48 square feet

• Since multiplication is commutative, it doesn’t matter what order you multiply your numbers in when you find volume.