prism: 108 cm3; pyramid: 36 cm3
prism: 108 cm cubed ; pyramid: 36 cm cubed
Volume of a prism = base area * height
Base area of the triangle = (1/2) * base * height = (1/2) * 6 * 4 = 12 cm^2
Volume of prism = 12 * 9 = 108 cm^3
Volume of a pyramid = (1/3) * base area * height
Base area of the triangle = 12 cm^2
Volume of pyramid = (1/3) * 12 * 9 = 36 cm^3
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: 36 cm3; pyramid: 108 cm3
prism: 36 cm cubed ; pyramid: 108 cm cubed
prism: 216 cm3; pyramid: 72 cm3
prism: 216 cm cubed ; pyramid: 72 cm cubed
prism: 108 cm3; pyramid: 36 cm3
prism: 108 cm cubed ; pyramid: 36 cm cubed
prism: 72 cm3; pyramid: 216 cm3
prism: 72 cm cubed ; pyramid: 216 cm cubed
1 answer
1 answer