Use the model for the base of a triangular, prism and triangular pyramid. If the heights are both non-centimeters, what is the volume of each shape
To find the volume of a triangular prism, you need to multiply the area of the base by the height of the prism. For a triangular pyramid, you need to multiply the area of the base by the height of the pyramid and then divide by 3.
Let's assume the base of both shapes is a triangle with a base of 4 cm and a height of 6 cm.
Volume of the triangular prism:
Area of the base = 1/2 * base * height
= 1/2 * 4 * 6
= 12 cm^2
Volume of the prism = 12 cm^2 * height of prism
= 12 cm^2 * height (non cm)
Volume of the triangular pyramid:
Volume of the pyramid = 1/3 * area of the base * height of the pyramid
= 1/3 * 12 cm^2 * height (non cm)
So, the volume of the triangular prism is 12 times the height (non cm), and the volume of the triangular pyramid is 4 times the height (non cm).