Volume Formulas for Shapes

Questions and Answers

What is the formula for the volume of a cube?

v=l³ (correct)

v=πr²h

v=l*w*h

v=4/3(πr³)

What is the formula for the volume of a cuboid?

v=l³

v=πr²h

v=l*w*h (correct)

v=4/3(πr³)

What is the formula for the volume of a sphere?

v=l*w*h

v=πr²h

v=1/3(l*w*h)

v=4/3(πr³) (correct)

What is the formula for the volume of a cylinder?

v=πr²h Signup and view all the answers

What is the formula for the volume of a rectangular based pyramid?

v=1/3(lwh) Signup and view all the answers

What is the formula for the volume of a triangular based pyramid?

v=1/3(area of base*h) Signup and view all the answers

What is the formula for the volume of a cone?

v=1/3(πr²h) Signup and view all the answers

What is the formula for the volume of a hemisphere?

v=2/3(πr³) Signup and view all the answers

What is the formula for the volume of a prism?

v=area of cross section*l Signup and view all the answers

Study Notes

Volume Formulas for Shapes

Volume of Cube: Calculated as ( v = l^3 ), where ( l ) is the length of a side.
Volume of Cuboid: Determined by the formula ( v = l \times w \times h ), with ( l ) as length, ( w ) as width, and ( h ) as height.
Volume of Sphere: Given by ( v = \frac{4}{3} \pi r^3 ), where ( r ) is the radius.
Volume of Cylinder: Calculated with ( v = \pi r^2 h ), with ( r ) as the radius of the base and ( h ) as the height.
Volume of Rectangular Based Pyramid: Formula is ( v = \frac{1}{3} (l \times w \times h) ), where ( l ) is length, ( w ) is width, and ( h ) is height.
Volume of Triangular Based Pyramid: Found using ( v = \frac{1}{3} \text{(area of base) } \times h ), where ( h ) is the height.
Volume of Cone: Uses the formula ( v = \frac{1}{3} \pi r^2 h ), where ( r ) is the radius of the base and ( h ) is the height.
Volume of Hemisphere: Determined by ( v = \frac{2}{3} \pi r^3 ), where ( r ) is the radius.
Volume of Prism: Calculated as ( v = \text{(area of cross section) } \times l ), where ( l ) is the length of the prism.

Description

Test your knowledge on the volume formulas of various geometric shapes including cubes, spheres, and pyramids. This quiz covers essential equations for calculating the volume of solids, making it perfect for students learning geometry.