To find the volume of the composite figure made up of two cubes and a cuboid, we can calculate the volume of each component separately and then add them together.
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Volume of the Cubes:
- Each cube has a side length of 5 cm.
- Volume of one cube = side^3 = \( 5^3 = 125 , \text{cm}^3 \).
- Since there are two cubes, their total volume = \( 2 \times 125 = 250 , \text{cm}^3 \).
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Volume of the Cuboid:
- The cuboid has a length of 10 cm, a height of 12 cm, and the width is the same as the side of the cubes, which is 5 cm.
- Volume of the cuboid = length × width × height = \( 10 \times 5 \times 12 = 600 , \text{cm}^3 \).
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Total Volume of the Composite Figure:
- Total volume = Volume of cubes + Volume of cuboid = \( 250 , \text{cm}^3 + 600 , \text{cm}^3 = 850 , \text{cm}^3 \).
So, the volume of the composite figure is 850 cm³. Therefore, the correct response is:
850 cm³.