Find the volume of a right prism with height h=10 cm, if the base is a trapezoid with height htr = 3 cm and bases of 2 cm and 5cm

• : Area of the base = 1/2 x 3 x ( 2 + 5 ) = 10.5 cm²
  
  Volume =10.5 x 10  = 105 cm³
  
  
  Answer:  105 cm³
• :

  We have been given that the base of the prism is a trapezoid. Hence, first of all we find the area of the trapezoid.

  Trapezoid has height 3 cm and bases of 2 cm and 5 cm.

  Hence, the area of the trapezoid is given by

  [tex]A=\frac{a+b}{2} \times h\\ \\ A=\frac{2+5}{2} \times 3\\ \\ A=\frac{21}{2}[/tex]

  Therefore, the volume of the right prism with height h=10 cm is given by

  [tex]V=\text{Base area }\times { height}\\ \\ V=\frac{21}{2} \times 10\\ \\ V=105 cm^3[/tex]

  Therefore, the volume of the right prism is 105 cubic centimeters.