Volume of 3D Shapes

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5 Questions

What is the formula to calculate the volume of a cube?

Length × Length × Length

What is the formula to calculate the volume of a rectangular prism?

Length × Width × Height

Which shape has a formula for volume that involves the height and area of the base?

Triangular Prism

What is the formula to calculate the volume of a cylinder?

π × Radius × Radius × Height

Which shape has a volume formula that is a cubed term?

Cube

Study Notes

Calculating Volume of 3D Shapes

  • Cube: The volume of a cube is calculated by cubing the length of one side (V = s³), where s is the length of the side.
  • Rectangular Prism: The volume of a rectangular prism is calculated by multiplying the length, width, and height (V = lwh).
  • Triangular Prism: The volume of a triangular prism is calculated by multiplying the area of the triangular base by the height (V = (1/2)bh, where b is the base and h is the height).
  • Cylinder: The volume of a cylinder is calculated by multiplying the area of the circular base by the height (V = πr²h, where r is the radius and h is the height).

Test your knowledge of calculating volumes of different 3D shapes, including cubes, rectangular prisms, triangular prisms, and cylinders. Improve your math skills and get ready for geometry and spatial reasoning challenges!

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