First, let's calculate the volume of the triangular prism.
The formula for the volume of a prism is:
Volume = Base Area x Height
The base area of the triangular prism is:
Base Area = 0.5 x length x width
Base Area = 0.5 x 4cm x 6cm
Base Area = 12 cm^2
Now, we can calculate the volume of the triangular prism:
Volume = 12 cm^2 x 9 cm
Volume = 108 cm^3
Next, let's calculate the volume of the triangular pyramid.
The formula for the volume of a pyramid is:
Volume = (1/3) x Base Area x Height
The base area of the triangular pyramid is the same as the base area of the triangular prism:
Base Area = 12 cm^2
Now, we can calculate the volume of the triangular pyramid:
Volume = (1/3) x 12 cm^2 x 9 cm
Volume = 36 cm^3
Therefore, the volume of the triangular prism is 108 cm^3 and the volume of the triangular pyramid is 36 cm^3.
Use the model for the base of a triangular, prism and triangular pyramid. If the heights are both nine centimeters, what is the volume of each shape? The lengths are 6cm and 4cm
1 answer