prism: 72 cm3; pyramid: 36 cm3
Volume of triangular prism = base area x height
Base area = (6 cm x 4 cm) / 2 = 12 cm^2
Volume = 12 cm^2 x 9 cm = 108 cm^3
Volume of triangular pyramid = (1/3) x base area x height
Base area = 12 cm^2
Volume = (1/3) x 12 cm^2 x 9 cm = 36 cm^3
Use the image to answer the question.
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: 216 cm3; pyramid: 72 cm3
prism: 108 cm3; pyramid: 36 cm3
prism: 36 cm3; pyramid: 108 cm3
prism: 72 cm3; pyramid: 216 cm3
1 answer