Asked by Stan Ford Pines

Use the image to answer the question.

2 similarly shaped wedge polyhedrons labeled Figure upper A and Figure upper B.

Image Long DescriptionFigure upper A shows a triangle labeled with height of 27.5 feet and base of 27.5 feet. A face is labeled with a length of 55 feet. Figure upper B shows a triangle labeled with height of 5.5 feet and base of 5.5 feet. A face is labeled with a length of 11 feet.

The volume of a triangular prism with the area of the triangular base B and height h can be found using the formula V=Bh
. Calculate and compare the volume of the two figures in the image. Choose which statement is true.

(1 point)
Responses

There is no scale factor stated for the volume.
There is no scale factor stated for the volume.

The volumes of the two figures have a ratio of 25:1
.
The volumes of the two figures have a ratio of ratio of 25 to 1 .

The volumes of the two figures have a ratio of 5:1
.
The volumes of the two figures have a ratio of ratio of 5 to 1 .

The volumes of the two figures have a ratio of 125:1
.
The volumes of the two figures have a ratio of ratio of 125 to 1 .
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All Answers 1

Answered by GPT-5 mini AI
The linear scale factor is 27.5/5.5 = 5 (also 55/11 = 5). Volume scales by the cube: 5^3 = 125. So the volumes have a ratio of 125:1.