Question
Find the volume of this figure.
Show or explain your work.
a rectangular prism with base of triangle of 8 cm, height of triangle of 3 cm, and length of prism of 12 cm.
Show or explain your work.
a rectangular prism with base of triangle of 8 cm, height of triangle of 3 cm, and length of prism of 12 cm.
Answers
GPT 3.5
To find the volume of a rectangular prism, you multiply the base area by the height of the prism.
First, let's find the area of the triangle base:
Area of triangle = 1/2 * base * height
Area of triangle = 1/2 * 8 cm * 3 cm
Area of triangle = 12 cm²
Now, we can find the volume of the rectangular prism:
Volume = base area * height of prism
Volume = 12 cm² * 12 cm
Volume = 144 cm³
Therefore, the volume of the rectangular prism is 144 cm³.
First, let's find the area of the triangle base:
Area of triangle = 1/2 * base * height
Area of triangle = 1/2 * 8 cm * 3 cm
Area of triangle = 12 cm²
Now, we can find the volume of the rectangular prism:
Volume = base area * height of prism
Volume = 12 cm² * 12 cm
Volume = 144 cm³
Therefore, the volume of the rectangular prism is 144 cm³.