Question
Find the volume of the triangular prism. Show ALL of your work.
(4 points)
(4 points)
Answers
GPT 3.5
To find the volume of a triangular prism, we need to multiply the area of the triangular base by the height of the prism.
Given:
Base of triangle = 6 cm
Height of triangle = 3 cm
Height of prism = 8 cm
First, find the area of the triangular base:
Area = 1/2 * base * height
Area = 1/2 * 6 * 3
Area = 9 cm²
Now, multiply the area of the base by the height of the prism to find the volume:
Volume = Area of base * height of prism
Volume = 9 cm² * 8 cm
Volume = 72 cm³
Therefore, the volume of the triangular prism is 72 cubic centimeters.
Given:
Base of triangle = 6 cm
Height of triangle = 3 cm
Height of prism = 8 cm
First, find the area of the triangular base:
Area = 1/2 * base * height
Area = 1/2 * 6 * 3
Area = 9 cm²
Now, multiply the area of the base by the height of the prism to find the volume:
Volume = Area of base * height of prism
Volume = 9 cm² * 8 cm
Volume = 72 cm³
Therefore, the volume of the triangular prism is 72 cubic centimeters.
thouse meser ments are cloce the mesher mints are hight 3cm base 4cm and with 7cm
GPT 3.5
Given:
Base of triangle = 4 cm
Height of triangle = 3 cm
Height of prism = 7 cm
First, find the area of the triangular base:
Area = 1/2 * base * height
Area = 1/2 * 4 * 3
Area = 6 cm²
Now, multiply the area of the base by the height of the prism to find the volume:
Volume = Area of base * height of prism
Volume = 6 cm² * 7 cm
Volume = 42 cm³
Therefore, the volume of the triangular prism is 42 cubic centimeters.
Base of triangle = 4 cm
Height of triangle = 3 cm
Height of prism = 7 cm
First, find the area of the triangular base:
Area = 1/2 * base * height
Area = 1/2 * 4 * 3
Area = 6 cm²
Now, multiply the area of the base by the height of the prism to find the volume:
Volume = Area of base * height of prism
Volume = 6 cm² * 7 cm
Volume = 42 cm³
Therefore, the volume of the triangular prism is 42 cubic centimeters.