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?

Check the attached picture for the diagram attached to the question

VOLUME A = VOLUME B

Step-by-step explanation:

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

PRISM A:

Rectangular prism

Cross-section, as given above, equals 3units by 2units

Therefore, the Area of the cross-section equals

Area of rectangle= Length × Width

Area of rectangle( 3×2) = 6

Length = 3.61

The volume is 6 × 3.61 = 21.66 unit^3

PRISM B:

Triangular prism:

Cross-section, as given above, equals 4units by 3units

Therefore, the Area of the cross-section equals

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

Area of triangle 0.5 × 4 × 3= 6

Length = 3.61

The volume is 6 × 3.61 = 21.66unit^3

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