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Volume of Rectangular & Triangular Prisms


STAAR Chart Formula                  V = Bh*
    *where B equals the area of the base



Since the base shape of a rectangular prism
is a rectangle, we replace B with the formula
for the area of rectangle which = bh.

Giving us …           V = (bh)h
Height of   V = Bh
1. Figure name
                   Shape of    figure
______________
 Rectangular prism
                   base?                   V = (bh)h
                               10 in
 4in 3in           rectangle               V = (4·3)(10)

           10 in                           V = 12·10 = 120 in³
1. Figure name            Height of V = Bh
______________ Shape of
 cube                     figure
               base?                V = (bh)(h)
                            3 in
3in 3in          square             V = (3·3)(3)

                                     V = 27 in³
          3 in
Volume of Triangular Prisms

STAAR Chart Formula                  V = Bh*
*where B equals the area of the base and h
equals the distance between the bases

Since the base shape of a triangular prism
                                 1
 is a triangle, we replace B with bh .
                                 2
                                 1
Specific formula: V                bh h
                                 2
Height of
1. Figure name
                  Shape of the figure      V = Bh
______________
 triangular prism
                  base?
                                  10 cm    V = (½bh)(h)
                     triangle
                                           V = (½ ·3·4)(10)

                                           V = 6·10 = 60 cm³
4cm
             10 cm
      3 cm
1. Figure name               Height of V = Bh
______________ Shape of
 triangular prism            figure
                  base?                V = (½ bh)(h)
             4m                 10 m
                  triangle             V = (½ · 6 · 4)(10)

                                        V = 12 · 10 = 120 m³
            10 m

   6m

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Volume of Prisms

  • 1. Volume of Rectangular & Triangular Prisms STAAR Chart Formula V = Bh* *where B equals the area of the base Since the base shape of a rectangular prism is a rectangle, we replace B with the formula for the area of rectangle which = bh. Giving us … V = (bh)h
  • 2. Height of V = Bh 1. Figure name Shape of figure ______________ Rectangular prism base? V = (bh)h 10 in 4in 3in rectangle V = (4·3)(10) 10 in V = 12·10 = 120 in³
  • 3. 1. Figure name Height of V = Bh ______________ Shape of cube figure base? V = (bh)(h) 3 in 3in 3in square V = (3·3)(3) V = 27 in³ 3 in
  • 4. Volume of Triangular Prisms STAAR Chart Formula V = Bh* *where B equals the area of the base and h equals the distance between the bases Since the base shape of a triangular prism 1 is a triangle, we replace B with bh . 2 1 Specific formula: V bh h 2
  • 5. Height of 1. Figure name Shape of the figure V = Bh ______________ triangular prism base? 10 cm V = (½bh)(h) triangle V = (½ ·3·4)(10) V = 6·10 = 60 cm³ 4cm 10 cm 3 cm
  • 6. 1. Figure name Height of V = Bh ______________ Shape of triangular prism figure base? V = (½ bh)(h) 4m 10 m triangle V = (½ · 6 · 4)(10) V = 12 · 10 = 120 m³ 10 m 6m