Pregunta
- The composite figure was built using
centimeter cubes. What is the volume
of the composite figure shown?
centimeter cubes. What is the volume
of the composite figure shown?
Ask by Curry Ramirez. in the United States
Mar 11,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The volume of the composite figure is 10 cubic centimeters.
Solución
-
Since each small cube is 1 centimeter on a side, each has a volume of
-
The volume of the composite figure is the sum of the volumes of all the cubes. In other words, if the figure is made of
cubes, then -
By carefully counting the cubes in the given composite figure we obtain
-
Thus, the volume of the composite figure is
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Simplifique esta solución Bonus Knowledge
To find the volume of the composite figure made of centimeter cubes, simply count how many 1 cm³ cubes fit into the shape. If the figure consists of multiple sections, calculate the volume for each section separately and then sum them up. For example, if one section is a rectangular prism with dimensions 3 cm x 2 cm x 4 cm, its volume would be 24 cm³.
When dealing with composite figures, a common mistake is to overlook small sections or not account for overlaps correctly. Ensure all parts are included in your calculations! If you’re stuck, break the figure down into simpler shapes like rectangles and cylinders; this can simplify the volume calculation process tremendously.
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