Mathematics
Grade9
Easy

Question

Find the volume of an oblique pentagonal prism with a base area of 42 square centimeters and a height of 5.2 centimeters.

  1. 108 cm3
  2. 396 in3
  3. 218.4 cm3
  4. 1025.4 cm3

hintHint:

when it comes to mensuration one can find attributes of an structure in any method. Anyhow, once one has got an expression for volume of a structure then, substitute the values given and find the values needed.

The correct answer is: 218.4 cm3


    In geometry, a rectangular prism is a polyhedron with two congruent and parallel bases. It is also called a cuboid. A rectangular prism has six faces, and all the faces are in a rectangle shape and have twelve edges. Because of its cross-section along the length, it is said to be a prism.
    Given That:
    the volume of an oblique pentagonal prism with a base area of 42 square centimeters and a height of 5.2 centimeters.
    >>>Volume of any structure = (Area of Base )cross times(Height)
    ***Therefore, the volume of a prism =(42)cross times(5.2)
    = 218.4 cm3.
    >>>Therefore, the volume of a prism is 218.4 cubic centimeters.

    V = B × h
    = 42 × 5.2
    = 218.4 cm3

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