8th Grade Math Volume Worksheets

Are you on the hunt for engaging and comprehensive volume worksheets for your 8th-grade math class? Look no further! On these worksheets, students will have the opportunity to explore concepts such as calculating the volume of various shapes, including rectangular prisms, cylinders, and cones. With clear instructions and varied practice problems, these worksheets provide a valuable resource for mastering volume calculations.

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  Volume Cones and Cylinders Worksheet

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  Geometry Similar Triangles Worksheet

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  Geometry Similar Triangles Worksheet

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  Geometry Similar Triangles Worksheet

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  Geometry Similar Triangles Worksheet

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  Geometry Similar Triangles Worksheet

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  Geometry Similar Triangles Worksheet

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  Geometry Similar Triangles Worksheet

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  Geometry Similar Triangles Worksheet

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What is volume?

Volume is a measure of the amount of space occupied by an object or a substance. It is typically calculated in cubic units such as cubic meters or cubic centimeters and is used to describe the capacity, size, or dimensions of an object. In simpler terms, volume tells us how much three-dimensional space an object or substance takes up.

How do you calculate the volume of a rectangular prism?

To calculate the volume of a rectangular prism, you multiply the length, width, and height of the prism together. The formula for the volume of a rectangular prism is V = l x w x h, where V represents the volume, l is the length, w is the width, and h is the height of the prism. Simply plug in the respective values for each of these dimensions into the formula and multiply them to find the volume of the rectangular prism.

How do you calculate the volume of a cylinder?

To calculate the volume of a cylinder, you use the formula V = ?r²h, where V is the volume, r is the radius of the base of the cylinder, and h is the height of the cylinder. Simply square the radius, multiply by the height, and then multiply by pi (approximately 3.14159) to find the volume of the cylinder in cubic units.

How do you calculate the volume of a cone?

The volume of a cone can be calculated using the formula V = (1/3)?r^2h, where V represents the volume, ? is the mathematical constant pi (approximately 3.14159), r is the radius of the base of the cone, and h is the height of the cone measured perpendicular to the base. By plugging in the values of the radius and height into this formula and performing the necessary calculations, you can determine the volume of the cone.

How do you calculate the volume of a sphere?

To calculate the volume of a sphere, you can use the formula V = (4/3)?r^3, where V represents the volume, and r represents the radius of the sphere. Simply plug in the value of the radius into the formula and solve for the volume.

How do you calculate the volume of a pyramid?

To calculate the volume of a pyramid, you can use the formula V = (1/3) × base area × height, where the base area is the area of the base of the pyramid and the height is the perpendicular height from the base to the apex of the pyramid. Simply plug in the values for the base area and height into the formula to find the volume of the pyramid.

How do the units of volume differ from units of area?

Units of volume measure the amount of three-dimensional space occupied by an object or substance, expressed in cubic units such as cubic meters or cubic centimeters. On the other hand, units of area measure the amount of space that a two-dimensional surface covers, expressed in square units such as square meters or square centimeters. In essence, volume relates to the capacity or size of a three-dimensional object, while area relates to the size of a two-dimensional surface.

What is the formula for the volume of a rectangular prism?

The formula for the volume of a rectangular prism is V = l x w x h, where V is the volume, l is the length, w is the width, and h is the height of the prism.

What is the formula for the volume of a cylinder?

The formula for the volume of a cylinder is V = ?r^2h, where V represents the volume, r is the radius of the base of the cylinder, and h is the height of the cylinder.

How do you find the volume of a composite three-dimensional figure?

To find the volume of a composite three-dimensional figure, you would first need to break down the shape into simpler, known geometric shapes such as cubes, prisms, cones, or cylinders. Calculate the volume of each individual shape using their respective formulas (e.g., V = lwh for a rectangular prism), then add up all the volumes of the individual shapes to find the total volume of the composite figure.