IXL | Lateral area of prisms

Find the lateral area of the prism. The base is a square.

square inches

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Learn with an example

question

Find the lateral area of the prism. The base is an equilateral triangle.

square centimeters

key idea

The lateral area of a prism is the sum of the areas of all the faces excluding the bases.

You can find the lateral area,

L.A.,

by multiplying the base's perimeter,

by the prism's height,

L.A.

solution

To find the lateral area, first identify the base of the prism and find its perimeter.

The base of the prism is an equilateral triangle with sides that are all 8 centimeters long. So, to find the perimeter, multiply the length of a side by 3.

(

)

The perimeter of the base is 24

centimeters.

Now, find the lateral area. Multiply the perimeter of the base by the height of the prism, which is 12

centimeters.

L.A.

(

)

(

)

288

The lateral area of the prism is 288 square

centimeters.

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