Volume Unit Test

14 of 1514 of 15 Items

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

1 answer

The volume of the movie theater can be calculated by adding the volumes of the large square prism in the center and the four smaller square prisms extending from the sides.

Volume of large square prism = (44 meters) x (44 meters) x (20 meters)
Volume of small square prism = (15 meters) x (15 meters) x (20 meters)

Total volume = Volume of large square prism + (4 x Volume of small square prism) + Volume of sign

Calculate the volume using the given measurements.
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