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What is the Formula for the Volume of a Prism?

What is the formula for the volume of a prism?

Summary

  1. cm is centimeters
  2. A is area, l is length, and w is width of the rectangle l=7 cm w=5 cm
  3. A rectangle is the polygon base of a rectangular prism
  4. Let the base be 1 cm thick
  5. For the prism, V is volume, B is the area of the base, and h is the height of 10 cm
  6. in is inches
  7. h1 is the height of the triangle base and h2 is the height of the triangular prism
  8. b=4 in It's the base of the triangle so it's like the width of the prism
  9. b is not the same as B which is the area of the prism's base

Notes

    1. 2-D means 2 dimensional
    2. A 2-D figure is defined by two measurements
    3. 3-D means 3 dimensional
    4. A 3-D figure is defined by three measurements
    5. Length, width, and height are measurements or dimensions
    1. The bases are the two identical shapes at the top and bottom of the prism
    1. 2-D means 2 dimensional
    2. A is area, l is length, and w is width of the rectangle
    3. 3-D means 3 dimensional
    4. V is volume, B is the area of the base of the prism, and h is the height of the prism
    5. The area of the base, B, is equal to the length times the width
    6. The length, 'l', is 7cm and the width, 'w', is 5 cm
    7. For the area, our units are centimeters squared, or cm2
    8. The height, 'h', is 10 cm
    9. (7x5)10 = (35)10 = 350
    10. For the volume, our units are centimeters cubed, or cm3
    1. The bases are the two identical shapes at the top and bottom of the prism
    1. For the prism, V is volume, B is the area of the base, and h is the height
    2. A is area of a triangle and has 2 dimensions: base and height
    3. 2-D means 2 dimensional
    4. 3-D means 3 dimensional
    5. The 3 dimensions of the triangular prism are the base of the triangle (b), the height of the triangle (h1), and the height of the prism (h2)
    6. b is 4, h1 is 7, and h2 is 12
    7. (1/2)(4•7)12=(1/2)(28)12=14x12=168
    8. Since we have a volume, our units are inches cubed, or in3
    1. V is volume, B is the area of the base of the prism, and h is the height of the prism
    2. A is area
    3. The base of a prism is always a polygon
    4. A rectangle and a triangle are each examples of polygons