Volume And Surface Area Study Cards

Enhance Your Learning with Volume and Surface Area Flash Cards for quick understanding



Volume

The amount of space occupied by a three-dimensional object, measured in cubic units.

Surface Area

The total area of the outer surface of a three-dimensional object, measured in square units.

Cube

A three-dimensional shape with six equal square faces.

Rectangular Prism

A three-dimensional shape with six rectangular faces.

Cylinder

A three-dimensional shape with two circular bases and a curved surface.

Sphere

A three-dimensional shape with all points equidistant from the center.

Cone

A three-dimensional shape with a circular base and a pointed top.

Pyramid

A three-dimensional shape with a polygonal base and triangular faces that meet at a common vertex.

Triangular Prism

A three-dimensional shape with triangular bases and rectangular faces.

Rectangular Pyramid

A three-dimensional shape with a rectangular base and triangular faces that meet at a common vertex.

Cuboid

A three-dimensional shape with six rectangular faces, where all angles are right angles.

Circumference

The distance around the edge of a circle.

Pi (π)

A mathematical constant that represents the ratio of a circle's circumference to its diameter, approximately equal to 3.14159.

Radius

The distance from the center of a circle to any point on its edge.

Diameter

The distance across a circle, passing through its center and touching two points on its edge.

Base

The bottom face of a three-dimensional shape.

Height

The distance from the base to the top of a three-dimensional shape.

Rectangular Base

The bottom face of a rectangular prism or cuboid.

Triangular Base

The bottom face of a triangular prism or pyramid.

Polygon

A closed two-dimensional shape with straight sides.

Regular Polygon

A polygon with all sides and angles equal.

Irregular Polygon

A polygon with sides and angles that are not equal.

Area

The measure of the size of a surface, measured in square units.

Perimeter

The distance around the edge of a two-dimensional shape.

Prism

A three-dimensional shape with two identical parallel bases and rectangular faces.

Pythagorean Theorem

In a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

Hypotenuse

The side opposite the right angle in a right triangle.

Right Triangle

A triangle with one angle equal to 90 degrees.

Isosceles Triangle

A triangle with two sides of equal length.

Equilateral Triangle

A triangle with all sides of equal length.

Scalene Triangle

A triangle with no sides of equal length.

Area of a Rectangle

The product of the length and width of a rectangle.

Area of a Square

The square of the length of a side of a square.

Area of a Triangle

Half the product of the base and height of a triangle.

Area of a Circle

The product of pi and the square of the radius of a circle.

Volume of a Cube

The product of the length of an edge cubed.

Volume of a Rectangular Prism

The product of the length, width, and height of a rectangular prism.

Volume of a Cylinder

The product of pi, the square of the radius, and the height of a cylinder.

Volume of a Sphere

Four-thirds times pi times the cube of the radius of a sphere.

Volume of a Cone

One-third times pi times the square of the radius times the height of a cone.

Volume of a Pyramid

One-third times the area of the base times the height of a pyramid.

Volume of a Triangular Prism

Half times the area of the base times the height of a triangular prism.

Volume of a Rectangular Pyramid

One-third times the area of the base times the height of a rectangular pyramid.

Volume of a Cuboid

The product of the length, width, and height of a cuboid.

Surface Area of a Cube

Six times the square of the length of an edge.

Surface Area of a Rectangular Prism

Two times the sum of the products of the length and width, the length and height, and the width and height of a rectangular prism.

Surface Area of a Cylinder

Two times pi times the radius times the sum of the radius and the height of a cylinder.

Surface Area of a Sphere

Four times pi times the square of the radius of a sphere.

Surface Area of a Cone

Pi times the radius times the sum of the radius and the slant height of a cone.

Surface Area of a Pyramid

The sum of the areas of the base and the lateral faces of a pyramid.

Surface Area of a Triangular Prism

The sum of the areas of the two triangular bases and the three rectangular faces of a triangular prism.

Surface Area of a Rectangular Pyramid

The sum of the areas of the base and the four triangular faces of a rectangular pyramid.

Surface Area of a Cuboid

Two times the sum of the products of the length and width, the length and height, and the width and height of a cuboid.

Word Problem

A mathematical problem presented in the form of a real-life situation or scenario.