Volume and Surface Area Formulas Flashcards

Questions and Answers

What is the formula for the volume of a cube?

$6s^2$

$\frac{1}{3}\pi r^2 h$

$\frac{4}{3}\pi r^3$

$s^3$ (correct)

What is the formula for the volume of a cylinder?

$s^3$

$\pi r^2 h$ (correct)

$\frac{1}{3}\pi r^2 h$

$\frac{4}{3}\pi r^3$

What is the formula for the volume of a cone?

$s^3$

$\frac{1}{3}\pi r^2 h$ (correct)

$\frac{4}{3}\pi r^3$

$\pi r^2 h$

What is the formula for the volume of a sphere?

$\frac{4}{3}\pi r^3$ Signup and view all the answers

What is the formula for the surface area of a right cylinder?

$2\pi rh + 2\pi r^2$ Signup and view all the answers

What is the formula for the surface area of a right cone?

$\pi r l + \pi r^2$ Signup and view all the answers

What is the formula for the surface area of a sphere?

$4\pi r^2$ Signup and view all the answers

What is the formula for the surface area of a right prism?

$Ph + 2B$ Signup and view all the answers

What is the formula for the surface area of a regular pyramid?

$\frac{1}{2}Pl + B$ Signup and view all the answers

What is the formula for the volume of a prism?

$Bh$ Signup and view all the answers

Study Notes

Volume Formulas

Volume of a Cube: Calculated using the formula ( V = s^3 ) where ( s ) is the length of a side.
Volume of a Cylinder: Determined by the formula ( V = \pi r^2 h ) where ( r ) is the radius of the base and ( h ) is the height.
Volume of a Cone: Given by the formula ( V = \frac{1}{3} \pi r^2 h ) with ( r ) as the radius of the base and ( h ) as the height.
Volume of a Sphere: Calculated using ( V = \frac{4}{3} \pi r^3 ) where ( r ) is the radius.

Surface Area Formulas

Surface Area of a Right Cylinder: Found with the formula ( SA = 2\pi r(h + r) ) combining the area of the circular bases and the lateral surface area.
Surface Area of a Right Cone: Computed by the formula ( SA = \pi r (r + l) ) where ( l ) is the slant height of the cone and ( r ) is the radius of the base.
Surface Area of a Sphere: Given by ( SA = 4\pi r^2 ) where ( r ) represents the radius.
Surface Area of a Right Prism: Determined using ( SA = 2B + Ph ) where ( B ) is the area of the base, ( P ) is the perimeter of the base, and ( h ) is the height.
Surface Area of a Regular Pyramid: Calculated using ( SA = B + \frac{1}{2}Pl ) where ( B ) is the base area, ( P ) is the base perimeter, and ( l ) is the slant height.

Volume of Prism

Volume of a Prism: Given by the formula ( V = B \cdot h ) where ( B ) is the area of the base and ( h ) is the height.

Description

This quiz focuses on important formulas related to the volume and surface area of various geometric shapes. Test your knowledge on the calculations for cubes, cylinders, cones, and spheres. Use these flashcards to reinforce your understanding of geometry concepts.