Mensuration II: Prism Volumes

Volume of Prisms

• The volume of a prism is calculated using the formula: Volume = Base Area × Height.

Triangular Prism Volume Calculations

• Prism (i):

  • Base triangle height: 12 cm
  • Base of triangle: 5 cm
  • Prism height: 25 cm
  • Volume = 0.5 × Base × Height × Height of Prism = 0.5 × 5 cm × 12 cm × 25 cm

• Prism (ii):

  • Base triangle height: 6 cm
  • Base of triangle: 10√3 cm
  • Prism height: 10√3 cm
  • Volume = 0.5 × 10√3 cm × 6 cm × 10√3 cm

• Prism (iii):

  • Base triangle height: 8 cm
  • Base of triangle: 10 cm
  • Prism height: 30 cm
  • Volume = 0.5 × 10 cm × 8 cm × 30 cm

• Prism (iv):

  • Base triangle height: 13 cm
  • Base of triangle: 10 cm
  • Prism height: 18 cm
  • Volume = 0.5 × 10 cm × 13 cm × 18 cm

• Prism (v):

  • Base triangle height: 8 cm
  • Base of triangle: 20 cm
  • Prism height: 15 cm
  • Volume = 0.5 × 20 cm × 8 cm × 15 cm

Rectangular Prism Volume Calculation

• Prism (vi):
  • Height: 40 cm
  • Width: 16 cm
  • Length: 12 cm
  • Volume = Height × Width × Length = 40 cm × 16 cm × 12 cm