Volume Worksheets Prisms Cylinders Cones

Worksheets on volume are a useful tool for students who want to strengthen their understanding of three-dimensional shapes such as prisms, cylinders, and cones. These worksheets provide practice exercises that help students calculate volumes, grasp the concept of space occupied by these shapes, and apply the appropriate formulas. By working with these worksheets, students can enhance their knowledge and confidently tackle volume-related problems.

  Surface Area Worksheets 6th Grade

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  Rectangular Prism Volume Worksheet

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  Surface Area and Volume Worksheets

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  Composite Figures Volume Worksheet

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  Volume Worksheet Solids

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  Cone Cylinder and Sphere Worksheet

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  Rectangular Pyramid Volume

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  Rectangular Pyramid Volume

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  Rectangular Pyramid Volume

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  Rectangular Pyramid Volume

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  Rectangular Pyramid Volume

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  Rectangular Pyramid Volume

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  Rectangular Pyramid Volume

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  Rectangular Pyramid Volume

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  Rectangular Pyramid Volume

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  Rectangular Pyramid Volume

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  Rectangular Pyramid Volume

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  Rectangular Pyramid Volume

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  Rectangular Pyramid Volume

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  Rectangular Pyramid Volume

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What is the volume of a rectangular prism with length 10 cm, width 5 cm, and height 12 cm?

The volume of a rectangular prism is calculated by multiplying its length, width, and height. In this case, the volume of the rectangular prism with a length of 10 cm, width of 5 cm, and height of 12 cm would be 10 cm x 5 cm x 12 cm = 600 cubic centimeters.

A cylinder has a radius of 8 cm and a height of 15 cm. Find its volume.

To find the volume of a cylinder, you use the formula V = ?r^2h, where V is the volume, r is the radius, and h is the height. Plugging in the given values, the volume of the cylinder with a radius of 8 cm and a height of 15 cm is V = ?(8 cm)^2(15 cm) = 3014.4 cm^3. Therefore, the volume of the cylinder is 3014.4 cubic centimeters.

How can you calculate the volume of a cone with radius 6 cm and height 9 cm?

To calculate the volume of a cone, you can use the formula V = (1/3) * ? * r^2 * h, where V is the volume, ? is approximately 3.14159, r is the radius, and h is the height. Plugging in the values of radius 6 cm and height 9 cm into the formula, we get V = (1/3) * 3.14159 * 6^2 * 9, which simplifies to V = 339.29 cm^3. Therefore, the volume of the cone is approximately 339.29 cubic centimeters.

What is the volume of a cube with side length 7 cm?

The volume of a cube with side length 7 cm is 343 cubic centimeters. This can be calculated by raising the side length to the power of 3, which in this case is 7^3 = 343 cubic centimeters.

A triangular prism has base dimensions of 6 cm and 8 cm and a height of 10 cm. Determine its volume.

The volume of a triangular prism can be calculated using the formula: V = 1/2 * base * height * length, where the base is the area of the triangle and the length is the height of the prism. First, find the area of the base triangle: A = 1/2 * base * height = 1/2 * 6 cm * 8 cm = 24 cm². Then, multiply the base area by the height of the prism to find the volume: V = 24 cm² * 10 cm = 240 cm³. Therefore, the volume of the triangular prism is 240 cm³.

Find the volume of a sphere with a radius of 4 cm.

The volume of a sphere with a radius of 4 cm is 268.08 cubic centimeters.

A rectangular pyramid has base dimensions of 12 cm and 10 cm and a height of 6 cm. Calculate its volume.

The volume of a rectangular pyramid is calculated using the formula V = (1/3) * base area * height. In this case, the base area is 12 cm * 10 cm = 120 cm^2. Therefore, the volume of the rectangular pyramid is V = (1/3) * 120 cm^2 * 6 cm = 240 cm^3. Hence, the volume of the rectangular pyramid is 240 cubic centimeters.

How can you find the volume of a triangular prism with base lengths of 5 cm, 7 cm, and 8 cm and a height of 9 cm?

To find the volume of a triangular prism, you first calculate the area of the base triangle by using the formula for the area of a triangle which is ½ x base x height. With the base lengths given as 5 cm, 7 cm, and 8 cm and a height of 9 cm, the area of the base triangle would be ½ x 8 cm x 9 cm = 36 square cm. Then, you multiply the area of the base triangle by the height of the prism to get the volume. So, the volume of the triangular prism would be 36 square cm (area of base) x 9 cm (height) = 324 cubic cm.

A cone has a radius of 5 cm and a slant height of 12 cm. Find its volume.

The volume of a cone can be calculated using the formula V = (1/3)?r^2h, where r is the radius and h is the height. In this case, the radius is 5 cm and the slant height is 12 cm. To find the height, we can use the Pythagorean theorem to calculate the height as h = ?(12^2 - 5^2) = ?(144 - 25) = ?119 cm. Then, plugging in the values to the formula, the volume of the cone is V = (1/3)?(5^2)(?119) ? 104.18 cm^3.

What is the volume of a cylinder with radius 3 cm and height 10 cm?

The volume of a cylinder can be calculated using the formula V = ?r^2h, where r is the radius and h is the height of the cylinder. Substituting the values given, the volume of the cylinder with a radius of 3 cm and height of 10 cm would be V = ?(3 cm)^2 * 10 cm = 90? cm^3 or approximately 283.53 cubic cm.