Volume of Composite 3D Figures Practice

Question

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Question
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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

Answer 1

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.