Question

n.

An illustration shows an equilateral triangle with each side measuring 6 centimeters. The perpendicular height is shown as a dashed line from the base to the apex and and is 4 centimeters. A right angle symbol is shown to the right of the perpendicular line.

Use the model for the base of a triangular prism and triangular pyramid. If the heights are both 9 cm, what is the volume of each shape?

(1 point)
Responses

prism: 108 cm3; pyramid: 36 cm3
prism: 108 cm cubed ; pyramid: 36 cm cubed

prism: 36 cm3; pyramid: 108 cm3
prism: 36 cm cubed ; pyramid: 108 cm cubed

prism: 72 cm3; pyramid: 216 cm3
prism: 72 cm cubed ; pyramid: 216 cm cubed

prism: 216 cm3; pyramid: 72 cm3

Answer 1

[AI-generated answer — Bot GPT 3.5]

prism: 72 cm3; pyramid: 216 cm3

prism: 72 cm cubed ; pyramid: 216 cm cubed

Answer 2

.

An illustration shows a triangular prism and a triangular pyramid. The edges that are not visible are marked as dashed lines. The triangular prism has its triangular face as the base. The area of the triangular face is labeled as upper B equals 10 inches squared. The length is 7 inches. The triangular pyramid has the triangular face as its base with the area labeled upper B equals 10 inches squared. The perpendicular height of the pyramid is 7 inches.

How does the volume of the prism compare to the volume of the pyramid?

(1 point)
Responses

The volume of the pyramid is three times as large as the volume of the prism.
The volume of the pyramid is three times as large as the volume of the prism.

The volume of the prism is three times as large as the volume of the pyramid.
The volume of the prism is three times as large as the volume of the pyramid.

The volume of the prism is 13 the size of the pyramid.
The volume of the prism is Start Fraction 1 over 3 End Fraction the size of the pyramid.

The volume of the prism is the same as the volume of the pyramid.

Answer 3

[AI-generated answer — Bot GPT 3.5]

The volume of the pyramid is three times as large as the volume of the prism.

The volume of the pyramid is three times as large as the volume of the prism.

Answer 4

.

An illustration shows a triangle with sides measuring 21, 17, and 10. A perpendicular line, from the side measuring 21 to the opposite angle, measures 8. A right angle symbol is shown to the left of the perpendicular line.

A prism and a pyramid both have this triangular base. If both shapes have the same height and the volume of the prism is 1,092 cubic units, what is the volume of the pyramid?

(1 point)
Responses

1,092 cubic units
1,092 cubic units

3,276 cubic units
3,276 cubic units

364 cubic units
364 cubic units

728 cubic units

Answer 5

[AI-generated answer — Bot GPT 3.5]

364 cubic units

364 cubic units

Answer 6

144 in.3

4 cm

prism: 108 cm3
; pyramid: 36 cm3

The volume of the prism is three times as large as the volume of the pyramid.

364 cubic units

Answer 7

[AI-generated answer — Bot GPT 3.5]

The correct answer is 364 cubic units. Thank you for providing the correct response.