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26 December, 08:07

The cross section of rectangular prism A measures 3 units by 2 units. The cross section of triangular prism B has

a base that measures 4 units and a height of 3 units. If the length of each prism is 3.61 units, which statement is

true?

volume A = 1/2 (volume B)

volume A=2 (volume B)

volume A=1/3 (volume B)

volume A=volume B

+3
Answers (1)
  1. 26 December, 10:12
    0
    volume A=volume B

    Step-by-step explanation:

    The volume of a prism = cross-sectional area * length

    PRISM A:

    Rectangular prism

    Cross-section equals 3units by 2units

    Therefore, the Area of the cross-section is given by

    Area of rectangle = Length * Width = > (3*2) = 6

    Length = 3.61

    The volume is 6 * 3.61 = 21.66 unit³

    PRISM B:

    Triangular prism:

    Cross-section equals 4units by 3units

    Therefore, the Area of the cross-section is given by

    Area of triangle = (1/2) * base * height

    Area of triangle = 0.5 * 4 * 3 = 6

    Length = 3.61

    The volume is 6 * 3.61 = 21.66unit³
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