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Volume of Rectangular Prism and Cylinder

Volume of Rectangular Prism and Cylinder. Grade 6. Warm Up. Find the Surface area of each rectangular Prism to the nearest tenth. 1. 7.8 in. 5.5cm. 2. 2.3cm. 10cm. 6.2 in. 5.4 in. Warm Up. 3. Write the formula for the surface area of a Cube in which each edge measures x units.

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Volume of Rectangular Prism and Cylinder

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  1. Volume of Rectangular Prism and Cylinder Grade 6

  2. Warm Up Find the Surface area of each rectangular Prism to the nearest tenth 1. 7.8 in. 5.5cm 2. 2.3cm 10cm 6.2 in. 5.4 in. Confidential

  3. Warm Up 3. Write the formula for the surface area of a Cube in which each edge measures x units. Find the surface area of Cylinders: 4. r = 6mm, h = 10 mm 5. r = 3.5 ft, h = 24 ft Confidential

  4. Lets review what we have learned in the last lesson • Surface Area of a Prism The surface area of a prism is the sum of the areas of all the sides of the prism. The formula for the surface area of a prism therefore depends on the type of prism. • Surface Area of a Cylinder The surface area of a cylinder is the sum of the areas of the two bases and the lateral face of the cylinder. surface area of a cylinder = 2*r2 + 2rh Confidential

  5. Types of prism The name of a prism depends upon its base polygons. If the bases are triangles, then it is a TRIANGULAR prism. A RECTANGULAR prism has bases which are rectangles . The other types of prisms are pentagonal prism, hexagonal prism and octagonal prism. Surface Area of prism: Surface Area of any prism = Lateral area + Area of two ends Confidential

  6. Let us start What is volume? • The amount of space occupied by an object is called its volume. • Cubic units are used to measure the volume. For example m3, cm3,in3, ft3 etc. Confidential

  7. Volume of Rectangular Prism • Prism is a 3D figure. • The volume of a rectangular prism is given by the formula: Volume = l × b × h Where l is the length of the rectangular prism. b is the width of the rectangular prism. h is the height of the rectangular prism. Confidential

  8. Practice Example 1:Find the volume of the rectangular prism whose length is 12 cm, width 6 cm and height 8cm. Solution: Volume = l × b × h Volume = 12 × 6 × 8 Volume = 576 cm3 The volume of the rectangular prism is 576 cm3. Volume = l x b x h Confidential

  9. Practice Example 2:Find the volume of the rectangular prism whose length is 6 in, width 6 in and height 4 in. Solution: Volume = l × b × h Volume = 6 × 6 × 4 Volume = 144 in3 The volume of the rectangular prism is 144 in3. Volume = l x b x h Confidential

  10. Volume of Cylinder • Cylinder is a 3D figure. • The volume of a cylinder is given by the formula: Volume = r2h Where r is the radius of the base of the cylinder. h is the height of the rectangular prism. and pi = 3.14. Confidential

  11. Practice Example 3:Find the volume of the cylinder whose radius is 10 cm and height 6cm. Solution: Volume = r2h Volume = 3.14 × 102 × 6 Volume = 1884 cm3 The volume of the cylinder is 1884 cm3. Volume = r2h Confidential

  12. Practice Example 4:Find the volume of the cylinder whose diameter is 22 cm and height 14 cm. Solution: Radius r = Diameter/2 = 22/2 = 11 cm Volume = r2h Volume = 3.14 × 112 × 14 Volume = 5319.6 cm3 The volume of the cylinder is 5319.6 cm3. Volume = r2h Confidential

  13. Break Time Confidential

  14. Your Turn Find the volume of the rectangular prism whose: • l=5 cm, b = 3 cm, h = 4 cm • l=4 in, b = 3 in, h = 5 in • l=12 cm, b = 2 cm, h = 7cm • l=10 m, b = 5 m, h = 5 m • l=5 km, b = 5 km, h = 11km Confidential

  15. Your Turn Find the volume of the cylinder whose: • r = 5 cm, h = 4 cm • r = 10 in, h = 2 in • r = 1 km, h = 5 km • r = 1 m, h = 1 m • r = 2 cm, h = 2 cm Confidential

  16. Q1:Find the length of the rectangular prism whose area is 980 cm3, width is 10cm and height is 7 cm. Confidential

  17. Q2:Find the height of the cylinder whose area is 314 cm3, and radius is 10 cm. Confidential

  18. Q3:A match box measures 4cm by 2 cm by 2 cm. What will be the volume of the a packet containing a maximum of 12 such boxes? Confidential

  19. Let Us Review • The amount of space occupied by an object is called its volume. • The volume of a rectangular prism is given by the formula: Volume = length × width × height • The volume of a cylinder is given by the formula: Volume = π(radius)2x height Confidential

  20. You Had a Great Lesson Today! Remember to practice what you have learned today Confidential

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