Q:

How do I calculate a cross-sectional area?

A:

Quick Answer

A cross-sectional area is the area where a two-dimensional plane intersects a three-dimensional object, such as a sphere, cube, cone or cylinder. To calculate this area, first determine the shape of the intersected area, select the appropriate formula based on this shape, measure or calculate the variables needed, and input the data into the formula. Cross-sections are typically parallel or perpendicular to the base of the three-dimensional object.

Continue Reading
How do I calculate a cross-sectional area?
Credit: David Goehring CC-BY 2.0

Full Answer

A parallel cross-section of a sphere, cone or cylinder is a circle. To calculate the area, find the radius of the circle at the cross-section, square it, and multiply by pi, a number most commonly simplified to 3.14. The perpendicular cross-section of a cone is a triangle, and the same cross-section of a cylinder is a square. A parallel or perpendicular cross-section of a cube or rectangular prism is a rectangle. Multiply the length by the width to find the area.

A rectangular pyramid has a parallel cross-section of a rectangle and a perpendicular cross-section of a triangle. The parallel cross-section of a triangular prism or pyramid is a triangle. For a triangle, multiply the base by the height, and divide by two to get the area.

Much less common, a doughnut-shaped object has two cross-sections. The parallel cross-section is two identical circles, and the perpendicular consists of two concentric circles called an annulus.

Learn more about Algebra

Related Questions

  • Q:

    How do you find the cube of a number?

    A:

    In order to find the cube of a number, multiply the number by itself three times. A cube is expressed in exponential form as B^3, which is read as B cubed or B raised to the third power. In this exponent, B is known as the base and 3 is the power.

    Full Answer >
    Filed Under:
  • Q:

    What is a cube root function?

    A:

    The cube root function is used to the find a number that when multiplied twice by itself gives the number inside the function. When the expression inside the cube root is a function, such as x - 5, the function is graphed for all possible values of x and y.

    Full Answer >
    Filed Under:
  • Q:

    What is the formula for linear feet?

    A:

    To calculate an area's width in linear feet, divide the area's measurement in square feet by the area's length in linear feet. An area's length in linear feet can be found by dividing the area's square feet by the area's linear width.

    Full Answer >
    Filed Under:
  • Q:

    What is the formula for calculating acreage?

    A:

    To determine acreage, it is necessary to have the square measurements of an area of land. One acre of land equals 43,560 square feet. If "F" equals the number of square feet and "A" the acreage, then the formula to determine acreage is A=F/43,560.

    Full Answer >
    Filed Under:

Explore