B. prism: 108 cm3; pyramid: 36 cm3
Volume of a prism = base area x height
Volume of a pyramid = (1/3) x base area x height
For the prism:
Base area = (1/2) x 6 x 4 = 12 cm^2
Volume = 12 x 9 = 108 cm^3
For the pyramid:
Base area = 12 cm^2
Volume = (1/3) x 12 x 9 = 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
A. prism: 216 cm3; pyramid: 72 cm3
B. prism: 108 cm3; pyramid: 36 cm3
C. prism: 36 cm3; pyramid: 108 cm3
D. prism: 72 cm3; pyramid: 216 cm3
1 answer
1 answer