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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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Presentation Transcript
sphere
Sphere
  • A sphere is a ball.
  • It has no faces, edges, or vertices.
slide4
Cube
  • A cubeis like a box.
  • It has six faces, six edges, and four vertices.
  • All of a cube’s faces and edges are equal.
rectangular prism
Rectangular Prism
  • 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.
cylinder
Cylinder
  • 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.”
finding volume
Finding Volume
  • We’re going to talk about how to find the volume of rectangular prisms and cylinders.
volume rectangular prisms
Volume: Rectangular Prisms
  • The formula for finding the volume of a rectangular prism is volume = length xwidth xheight, or V = l x w xh.
volume rectangular prisms1
Volume: Rectangular Prisms
  • 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
volume cylinders
Volume: Cylinders
  • The formula for finding the volume of a cylinder is pi x radius squared x height.
volume cylinders1
Volume: Cylinders
  • 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
finding surface area
Finding Surface Area
  • Now we’re going to talk about how to find the surface area of rectangular prisms and cylinders.
surface area rectangular prisms
Surface Area: Rectangular Prisms
  • The formula for finding the surface area of a rectangular prism is 2(length x width) + 2(length x height) + 2(width x height).
surface area rectangular prisms1
Surface Area: Rectangular Prisms
  • 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
surface area cylinders
Surface Area: Cylinders
  • 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)
surface area cylinders1
Surface Area: Cylinders
  • 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
remember
Remember…
  • Since multiplication is commutative, it doesn’t matter what order you multiply your numbers in when you find volume.
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