Question

Use the image to answer the question.

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 point)
m3
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Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the volume of the movie theater, we need to calculate the volume of each individual prism and then add them together.

First, let's find the volume of the large square prism in the center:
Volume = side length * side length * height
Volume = 44m * 44m * 20m
Volume = 38,720m3

Now, let's find the volume of one of the smaller square prisms:
Volume = side length * side length * height
Volume = 15m * 15m * 20m
Volume = 4,500m3

Since there are four smaller prisms, we need to multiply the volume of one prism by 4:
4,500m3 * 4 = 18,000m3

Now, we add the volume of the large square prism and the volume of the four smaller square prisms:
38,720m3 + 18,000m3 = 56,720m3

Therefore, the volume of the movie theater is 56,720 cubic meters.