Volume is an essential concept in geometry and measurement that grade 8 students need to understand. According to the Common Core Standards for Math, students should be able to calculate the volume of various geometric figures, understand the relationship between volume and capacity, and solve problems involving volume.

Firstly, students should be able to define what volume is. Volume is the amount of space inside a three-dimensional object. They should also understand that the unit for volume is cubic units, such as cubic centimeters or cubic meters.

Next, students should be able to calculate the volume of various geometric figures, including rectangular prisms, cylinders, cones, and spheres. They should be able to use formulas to calculate the volume of these figures and understand how to apply these formulas in problem-solving contexts.

Students should also be able to understand the relationship between volume and capacity. Capacity is the amount of space that an object can hold, and it is measured in units such as liters or gallons. Students should understand that the volume of an object and its capacity are equal.

Finally, students should be able to solve problems involving volume. They should be able to apply their knowledge of volume and capacity to real-world situations, such as calculating the amount of paint needed to cover a room or the amount of water a container can hold.

In summary, understanding volume is a crucial aspect of geometry and measurement for grade 8 students. By learning to calculate the volume of various geometric figures, understand the relationship between volume and capacity, and solve problems involving volume, students can build a strong foundation in math skills that will serve them well in their future studies.

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