Engine Displacement worksheet

1. Displacement: 4,201.79 cc

1. Find the space one piston sweeps: the area of the round bore times how far the piston travels, (π/4) × bore² × stroke

   $\frac{\pi }{4}\times {72}^2\times 86$$=\mathrm{350,149.350799}\text{\hspace{0.17em}mm³}$

2. Change to cubic centimeters (cc), the usual unit for engine size (1,000 mm³ = 1 cm³)

   $\frac{\mathrm{350,149.350799}\text{\hspace{0.17em}mm³}}{\mathrm{1,000}}$$=350.149351\text{\hspace{0.17em}cc}$

3. Multiply by the number of cylinders (12) to get the whole engine's displacement

   $350.149351\text{\hspace{0.17em}cc}\times 12$$=\mathrm{4,201.79221}\text{\hspace{0.17em}cc}$

4. Turn cc into cubic inches by dividing by 16.387064, the cc in one cubic inch

   $\frac{\mathrm{4,201.79221}\text{\hspace{0.17em}cc}}{16.387064}$$=256.409093\text{\hspace{0.17em}in³}$

5. Turn cc into liters by dividing by 1,000, since 1 liter is 1,000 cc

   $\frac{\mathrm{4,201.79221}\text{\hspace{0.17em}cc}}{\mathrm{1,000}}$$=4.201792\text{\hspace{0.17em}L}$

2. Displacement: 3,121.08 cc

1. Find the space one piston sweeps: the area of the round bore times how far the piston travels, (π/4) × bore² × stroke

   $\frac{\pi }{4}\times {76}^2\times 86$$=\mathrm{390,135.542093}\text{\hspace{0.17em}mm³}$

2. Change to cubic centimeters (cc), the usual unit for engine size (1,000 mm³ = 1 cm³)

   $\frac{\mathrm{390,135.542093}\text{\hspace{0.17em}mm³}}{\mathrm{1,000}}$$=390.135542\text{\hspace{0.17em}cc}$

3. Multiply by the number of cylinders (8) to get the whole engine's displacement

   $390.135542\text{\hspace{0.17em}cc}\times 8$$=\mathrm{3,121.084337}\text{\hspace{0.17em}cc}$

4. Turn cc into cubic inches by dividing by 16.387064, the cc in one cubic inch

   $\frac{\mathrm{3,121.084337}\text{\hspace{0.17em}cc}}{16.387064}$$=190.460252\text{\hspace{0.17em}in³}$

5. Turn cc into liters by dividing by 1,000, since 1 liter is 1,000 cc

   $\frac{\mathrm{3,121.084337}\text{\hspace{0.17em}cc}}{\mathrm{1,000}}$$=3.121084\text{\hspace{0.17em}L}$

3. Displacement: 246.84 in³

1. Find the space one piston sweeps: the area of the round bore times how far the piston travels, (π/4) × bore² × stroke

   $\frac{\pi }{4}\times {4.25}^2\times 3.48$$=49.368165\text{\hspace{0.17em}in³}$

2. Change to cubic centimeters (cc), the usual unit for engine size (1 in³ = 16.387064 cm³)

   $49.368165\text{\hspace{0.17em}in³}\times 16.387064$$=808.99928\text{\hspace{0.17em}cc}$

3. Multiply by the number of cylinders (5) to get the whole engine's displacement

   $808.99928\text{\hspace{0.17em}cc}\times 5$$=\mathrm{4,044.996402}\text{\hspace{0.17em}cc}$

4. Get cubic inches the same way: one cylinder's in³ times the number of cylinders

   $49.368165\text{\hspace{0.17em}in³}\times 5$$=246.840825\text{\hspace{0.17em}in³}$

5. Turn cc into liters by dividing by 1,000, since 1 liter is 1,000 cc

   $\frac{\mathrm{4,044.996402}\text{\hspace{0.17em}cc}}{\mathrm{1,000}}$$=4.044996\text{\hspace{0.17em}L}$

4. Displacement: 81.68 in³

1. Find the space one piston sweeps: the area of the round bore times how far the piston travels, (π/4) × bore² × stroke

   $\frac{\pi }{4}\times 4^2\times 3.25$$=40.840704\text{\hspace{0.17em}in³}$

2. Change to cubic centimeters (cc), the usual unit for engine size (1 in³ = 16.387064 cm³)

   $40.840704\text{\hspace{0.17em}in³}\times 16.387064$$=669.259238\text{\hspace{0.17em}cc}$

3. Multiply by the number of cylinders (2) to get the whole engine's displacement

   $669.259238\text{\hspace{0.17em}cc}\times 2$$=\mathrm{1,338.518477}\text{\hspace{0.17em}cc}$

4. Get cubic inches the same way: one cylinder's in³ times the number of cylinders

   $40.840704\text{\hspace{0.17em}in³}\times 2$$=81.681409\text{\hspace{0.17em}in³}$

5. Turn cc into liters by dividing by 1,000, since 1 liter is 1,000 cc

   $\frac{\mathrm{1,338.518477}\text{\hspace{0.17em}cc}}{\mathrm{1,000}}$$=1.338518\text{\hspace{0.17em}L}$

5. Displacement: 267.85 in³

1. Find the space one piston sweeps: the area of the round bore times how far the piston travels, (π/4) × bore² × stroke

   $\frac{\pi }{4}\times {3.5}^2\times 3.48$$=33.481524\text{\hspace{0.17em}in³}$

2. Change to cubic centimeters (cc), the usual unit for engine size (1 in³ = 16.387064 cm³)

   $33.481524\text{\hspace{0.17em}in³}\times 16.387064$$=548.663872\text{\hspace{0.17em}cc}$

3. Multiply by the number of cylinders (8) to get the whole engine's displacement

   $548.663872\text{\hspace{0.17em}cc}\times 8$$=\mathrm{4,389.310974}\text{\hspace{0.17em}cc}$

4. Get cubic inches the same way: one cylinder's in³ times the number of cylinders

   $33.481524\text{\hspace{0.17em}in³}\times 8$$=267.85219\text{\hspace{0.17em}in³}$

5. Turn cc into liters by dividing by 1,000, since 1 liter is 1,000 cc

   $\frac{\mathrm{4,389.310974}\text{\hspace{0.17em}cc}}{\mathrm{1,000}}$$=4.389311\text{\hspace{0.17em}L}$

6. Displacement: 132.54 in³

1. Find the space one piston sweeps: the area of the round bore times how far the piston travels, (π/4) × bore² × stroke

   $\frac{\pi }{4}\times {3.75}^2\times 3$$=33.133985\text{\hspace{0.17em}in³}$

2. Change to cubic centimeters (cc), the usual unit for engine size (1 in³ = 16.387064 cm³)

   $33.133985\text{\hspace{0.17em}in³}\times 16.387064$$=542.968733\text{\hspace{0.17em}cc}$

3. Multiply by the number of cylinders (4) to get the whole engine's displacement

   $542.968733\text{\hspace{0.17em}cc}\times 4$$=\mathrm{2,171.874932}\text{\hspace{0.17em}cc}$

4. Get cubic inches the same way: one cylinder's in³ times the number of cylinders

   $33.133985\text{\hspace{0.17em}in³}\times 4$$=132.53594\text{\hspace{0.17em}in³}$

5. Turn cc into liters by dividing by 1,000, since 1 liter is 1,000 cc

   $\frac{\mathrm{2,171.874932}\text{\hspace{0.17em}cc}}{\mathrm{1,000}}$$=2.171875\text{\hspace{0.17em}L}$

7. Displacement: 1,050.32 cc

1. Find the space one piston sweeps: the area of the round bore times how far the piston travels, (π/4) × bore² × stroke

   $\frac{\pi }{4}\times {92}^2\times 79$$=\mathrm{525,161.194345}\text{\hspace{0.17em}mm³}$

2. Change to cubic centimeters (cc), the usual unit for engine size (1,000 mm³ = 1 cm³)

   $\frac{\mathrm{525,161.194345}\text{\hspace{0.17em}mm³}}{\mathrm{1,000}}$$=525.161194\text{\hspace{0.17em}cc}$

3. Multiply by the number of cylinders (2) to get the whole engine's displacement

   $525.161194\text{\hspace{0.17em}cc}\times 2$$=\mathrm{1,050.322389}\text{\hspace{0.17em}cc}$

4. Turn cc into cubic inches by dividing by 16.387064, the cc in one cubic inch

   $\frac{\mathrm{1,050.322389}\text{\hspace{0.17em}cc}}{16.387064}$$=64.094605\text{\hspace{0.17em}in³}$

5. Turn cc into liters by dividing by 1,000, since 1 liter is 1,000 cc

   $\frac{\mathrm{1,050.322389}\text{\hspace{0.17em}cc}}{\mathrm{1,000}}$$=1.050322\text{\hspace{0.17em}L}$

8. Displacement: 1,068.82 cc

1. Find the space one piston sweeps: the area of the round bore times how far the piston travels, (π/4) × bore² × stroke

   $\frac{\pi }{4}\times {86}^2\times 92$$=\mathrm{534,410.043117}\text{\hspace{0.17em}mm³}$

2. Change to cubic centimeters (cc), the usual unit for engine size (1,000 mm³ = 1 cm³)

   $\frac{\mathrm{534,410.043117}\text{\hspace{0.17em}mm³}}{\mathrm{1,000}}$$=534.410043\text{\hspace{0.17em}cc}$

3. Multiply by the number of cylinders (2) to get the whole engine's displacement

   $534.410043\text{\hspace{0.17em}cc}\times 2$$=\mathrm{1,068.820086}\text{\hspace{0.17em}cc}$

4. Turn cc into cubic inches by dividing by 16.387064, the cc in one cubic inch

   $\frac{\mathrm{1,068.820086}\text{\hspace{0.17em}cc}}{16.387064}$$=65.223403\text{\hspace{0.17em}in³}$

5. Turn cc into liters by dividing by 1,000, since 1 liter is 1,000 cc

   $\frac{\mathrm{1,068.820086}\text{\hspace{0.17em}cc}}{\mathrm{1,000}}$$=1.06882\text{\hspace{0.17em}L}$

9. Displacement: 5,688.91 cc

1. Find the space one piston sweeps: the area of the round bore times how far the piston travels, (π/4) × bore² × stroke

   $\frac{\pi }{4}\times {81}^2\times 92$$=\mathrm{474,075.756205}\text{\hspace{0.17em}mm³}$

2. Change to cubic centimeters (cc), the usual unit for engine size (1,000 mm³ = 1 cm³)

   $\frac{\mathrm{474,075.756205}\text{\hspace{0.17em}mm³}}{\mathrm{1,000}}$$=474.075756\text{\hspace{0.17em}cc}$

3. Multiply by the number of cylinders (12) to get the whole engine's displacement

   $474.075756\text{\hspace{0.17em}cc}\times 12$$=\mathrm{5,688.909074}\text{\hspace{0.17em}cc}$

4. Turn cc into cubic inches by dividing by 16.387064, the cc in one cubic inch

   $\frac{\mathrm{5,688.909074}\text{\hspace{0.17em}cc}}{16.387064}$$=347.158532\text{\hspace{0.17em}in³}$

5. Turn cc into liters by dividing by 1,000, since 1 liter is 1,000 cc

   $\frac{\mathrm{5,688.909074}\text{\hspace{0.17em}cc}}{\mathrm{1,000}}$$=5.688909\text{\hspace{0.17em}L}$

10. Displacement: 120.28 in³

1. Find the space one piston sweeps: the area of the round bore times how far the piston travels, (π/4) × bore² × stroke

   $\frac{\pi }{4}\times {4.125}^2\times 3$$=40.092122\text{\hspace{0.17em}in³}$

2. Change to cubic centimeters (cc), the usual unit for engine size (1 in³ = 16.387064 cm³)

   $40.092122\text{\hspace{0.17em}in³}\times 16.387064$$=656.992167\text{\hspace{0.17em}cc}$

3. Multiply by the number of cylinders (3) to get the whole engine's displacement

   $656.992167\text{\hspace{0.17em}cc}\times 3$$=\mathrm{1,970.976501}\text{\hspace{0.17em}cc}$

4. Get cubic inches the same way: one cylinder's in³ times the number of cylinders

   $40.092122\text{\hspace{0.17em}in³}\times 3$$=120.276366\text{\hspace{0.17em}in³}$

5. Turn cc into liters by dividing by 1,000, since 1 liter is 1,000 cc

   $\frac{\mathrm{1,970.976501}\text{\hspace{0.17em}cc}}{\mathrm{1,000}}$$=1.970977\text{\hspace{0.17em}L}$