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This geometry math tutorial from NutshellMath offers introductory homework help on finding the surface area and volume of three-dimensional figures. The surface area of a three-dimensional figure is the sum of the areas of all the faces of the figure. For a uniformly rounded figure, such as a cylinder, the rounded face can be calculated as one surface. The volume is a measure of how much space a figure fills in space. This quantity can be calculated in cubic units. Most figures will also have formulas relating dimensions of the figure to the surface area, which can be used to find the surface area.
To find the surface area of a figure, it is necessary to calculate the area of all the faces of figure and sum them together. Often it will be necessary to recognize congruent lengths of sides in order to calculate the area of faces. For shapes with odd faces, such as cylinders, it helps to visualize the curved faces as flat. For instance, a curved side of a cylinder will flatten to a rectangle with a length equal to the circumference of the cylinder and a height equal to that of the cylinder. The surface area of a figure is expressed in units squared.
To find the volume of a figure, such as a prism, multiply the area of the base of the figure by the height of the figure. Figures in which all sides are not perpendicular to the base, such as pyramids and spheres will have different formulas for finding the volume. The volume of a three-dimensional figure is expressed in cubic units.
Both surface area and volume are important for a variety of mathematical problems. This tutorial offers basic math help in understanding the concepts of surface area and volume, and finding the surface area and volume of simple prisms.
This geometry math tutorial from NutshellMath offers introductory homework help on finding the surface area and volume of three-dimensional figures. The surface area of a three-dimensional figure is the sum of the areas of all the faces of the figure. For a uniformly rounded figure, such as a cylinder, the rounded face can be calculated as one surface. The volume is a measure of how much space a figure fills in space. This quantity can be calculated in cubic units. Most figures will also have formulas relating dimensions of the figure to the surface area, which can be used to find the surface area.
To find the surface area of a figure, it is necessary to calculate the area of all the faces of figure and sum them together. Often it will be necessary to recognize congruent lengths of sides in order to calculate the area of faces. For shapes with odd faces, such as cylinders, it helps to visualize the curved faces as flat. For instance, a curved side of a cylinder will flatten to a rectangle with a length equal to the circumference of the cylinder and a height equal to that of the cylinder. The surface area of a figure is expressed in units squared.
To find the volume of a figure, such as a prism, multiply the area of the base of the figure by the height of the figure. Figures in which all sides are not perpendicular to the base, such as pyramids and spheres will have different formulas for finding the volume. The volume of a three-dimensional figure is expressed in cubic units.
Both surface area and volume are important for a variety of mathematical problems. This tutorial offers basic math help in understanding the concepts of surface area and volume, and finding the surface area and volume of simple prisms.