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3D shapes - volume formulas | Learning Pages | Math Center - Free Printable

3D shapes - volume formulas | Learning Pages | Math Center

Educational worksheet: 3D shapes - volume formulas | Learning Pages | Math Center. Download and print for classroom or home learning activities.

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The image you've uploaded is a reference sheet for the volume formulas of various 3D shapes. It's not a problem to solve in the traditional sense, but rather a collection of formulas for calculating volume.

Here is a breakdown of the formulas presented for each shape:

- Sphere: The volume $V$ is given by the formula $V = \frac{4}{3} \pi r^3$, where $r$ is the radius of the sphere.
- Rectangular Prism (Cuboid): The volume $V$ is calculated as $V = l \times w \times h$, where $l$ is the length, $w$ is the width, and $h$ is the height.
- Cylinder: The volume $V$ is found using $V = \pi r^2 h$, with $r$ being the radius of the circular base and $h$ the height of the cylinder.
- Triangular Prism: The volume $V$ is given by $V = \frac{b \times h \times l}{2}$, where $b$ is the base of the triangular face, $h$ is the height of the triangle, and $l$ is the length (or depth) of the prism.
- Cone: The volume $V$ is calculated as $V = \frac{\pi r^2 h}{3}$, where $r$ is the radius of the circular base and $h$ is the height of the cone.
- Pyramid (Square Base shown): The volume $V$ is given by $V = \frac{l \times w \times h}{3}$, where $l$ and $w$ are the length and width of the rectangular base, and $h$ is the height of the pyramid.

This sheet is meant to be used as a quick reference when you need to calculate the volume of these common 3D shapes. If you have a specific problem involving one of these shapes, you can use the corresponding formula to find the volume by plugging in the known measurements.
Parent Tip: Review the logic above to help your child master the concept of volume of 3d shapes worksheet.
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