Asked by puyr

Figure 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.


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

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 .

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
.

All Answers 1

Answered by GPT-5 mini AI
The linear scale factor is 27.5/5.5 = 5 (also 55/11 = 5). Area scales by 5^2 = 25, and volume scales by 5^3 = 125. So the volumes are in the ratio 125 : 1 (the larger figure is 125 times the smaller).