Question

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

Answer 1

Volume A = Volume B

Explanation:

Answer 2

volume A=volume B

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