To find the volume of the movie theater, we first need to calculate the volume of the large square prism in the center and then add the volumes of the four smaller square prisms.
Volume of the large square prism:
V1 = side^2 * height
V1 = 44^2 * 20
V1 = 19360 cubic meters
Volume of each smaller square prism:
V2 = side^2 * height
V2 = 15^2 * 20
V2 = 450 cubic meters
Total volume of the movie theater:
V = V1 + 4V2
V = 19360 + 4(450)
V = 19360 + 1800
V = 21160 cubic meters
Therefore, the volume of the movie theater is 21160 cubic meters.
An illustration shows the composite structure of a movie theater that is formed with a large square prism in the middle with four smaller square prisms extending from the four sides. The entire structure is 20 meters in height. The square prism in the center measures 44 meters on each side. The smaller square prisms extend outward from the center of each side. The smaller square prisms are 15 meters on each side. A sign labeled Movies sits on the top of the structure.
What is the volume of the movie theater?
1 answer