Question
Volume of Composite 3D Figures Practice
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Question
Use the image to answer the question.
An illustration shows two cubes joined on both sides of a cuboid. The sides of the cube are 2 yards. The length of the cuboid is 4.5 yards.
What is the volume of the composite figure?
(1 point)
yd.3
Answers
GPT 3.5
The volume of the composite figure is equal to the sum of the volumes of each individual shape.
For the cube: Volume = side length^3 = 2^3 = 8 yd^3
Since there are two cubes, the total volume of the cubes is 2 * 8 = 16 yd^3.
For the cuboid: Volume = length * width * height = 4.5 * 2 * 2 = 18 yd^3
Therefore, the total volume of the composite figure is 16 + 18 = 34 yd^3.
For the cube: Volume = side length^3 = 2^3 = 8 yd^3
Since there are two cubes, the total volume of the cubes is 2 * 8 = 16 yd^3.
For the cuboid: Volume = length * width * height = 4.5 * 2 * 2 = 18 yd^3
Therefore, the total volume of the composite figure is 16 + 18 = 34 yd^3.