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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
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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
Skip to navigation
Answers
There are no human answers yet.
Answered by
GPT 3.5
The volume of the composite figure can be calculated by first finding the volume of each individual figure and then adding them together.
Volume of one cube = (side length)^3 = (2 yards)^3 = 8 cubic yards
Volume of the cuboid = length x width x height = 4.5 yards x 2 yards x 2 yards = 18 cubic yards
Now, add the volumes of the cube and the cuboid:
Total volume = 8 cubic yards (for the cube) + 18 cubic yards (for the cuboid) = 26 cubic yards
Therefore, the volume of the composite figure is 26 cubic yards.
Volume of one cube = (side length)^3 = (2 yards)^3 = 8 cubic yards
Volume of the cuboid = length x width x height = 4.5 yards x 2 yards x 2 yards = 18 cubic yards
Now, add the volumes of the cube and the cuboid:
Total volume = 8 cubic yards (for the cube) + 18 cubic yards (for the cuboid) = 26 cubic yards
Therefore, the volume of the composite figure is 26 cubic yards.
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