To calculate the volume of the figure, we need to find the volume of the rectangular prism and the volume of the pyramid separately, and then add them together.
Volume of the rectangular prism:
Volume = length x width x height
Volume = 3 cm x 3 cm x 3 cm
Volume = 27 cm³
Volume of the pyramid:
Volume = 1/3 x base area x height
The base of the pyramid is a square with side length 3 cm.
Base area = 3 cm x 3 cm = 9 cm²
Volume = 1/3 x 9 cm² x 2 cm
Volume = 6 cm³
Total volume of the figure:
27 cm³ (prism) + 6 cm³ (pyramid) = 33 cm³
Therefore, the volume of the figure is 33 cm³.
Calculate the volume of the figure.
A three-dimensional figure is composed of a rectangular prism with a length of 3 cm, a width of 3 cm, and a height of 3 cm. One of the sides of the prism is also the base of a pyramid. This pyramid has a height of 2 cm.
(1 point)
Responses
15 cm³
15 cm³
33 cm³
33 cm³
45 cm³
45 cm³
54 cm³
1 answer