Mathematics
Grade9
Easy

Question

Find the volume of the prism.

  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: 396 in3


    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:
                          
    >>>Volume of any structure = (Area of a base )cross times(Height)
    >>>Volume of Prism = (Area of trapezium base)cross times(Height)
    = (1 half cross times d cross times left parenthesis b plus a right parenthesis)cross times(h)
    =1 half open parentheses 3 close parentheses open parentheses 7 plus 15 close parenthesescross times(12)
    = 33cross times12
    = 396 inches3.
    >>>Therefore, the volume of a prism is 396 cubic inches.

    Volume of a prism = 1 half open parentheses 3 close parentheses open parentheses 7 plus 15 close parenthesescross times(12)
    = 396 inches3.

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