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2 points 2. How do the volumes of the two figures compare? Select all that are correct. 2.5 ft A 2.5 ft-> B 5 ft 3 ft K 3 ft 5 ft Volume A = Volume B Volume A = 0.5Volume B Volume A is greater than Volume B Volume B is greater than Volume A

2 points 2 How do the volumes of the two figures compare Select all that are correct 25 ft A 25 ftgt B 5 ft 3 ft K 3 ft 5 ft Volume A Volume B Volume A 05Volume class=

Respuesta :

Given data:

The volume of the triangular prism(A) is,

[tex]\begin{gathered} V=\frac{1}{2}(3\text{ ft)(2.5 ft)}(5\text{ ft)} \\ =18.75ft^3 \end{gathered}[/tex]

The volume of Bis,

[tex]\begin{gathered} V^{\prime}=(5\text{ ft)(3 ft)(2.5 ft)} \\ =37.5ft^3 \end{gathered}[/tex]

The ratio of the volume of the prism to the volume of the cuboid is,

[tex]\begin{gathered} \frac{V^{}}{V^{\prime}}=\frac{18.75}{37.5} \\ \frac{V}{V^{\prime}}=\frac{1}{2} \\ V=0.5V^{\prime} \end{gathered}[/tex]

Thus, volume of B is greater than A , so the second and fourth options are correct.

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