IXL | Lateral area of prisms | 7th grade math

or

A rectangular prism is shown below. Its bases have a length of

16

millimeters

and a width of

12

millimeters

.

Which diagram is a net for the prism?

What is the lateral area of the rectangular prism?

square millimeters

ref_doc_title.

or

Learn with an example

question

A rectangular prism is shown below. Its bases have a length of

4

centimeters

and a width of

3

centimeters

.

Which diagram is a net for the prism?

What is the lateral area of the rectangular prism?

square centimeters

key idea

A net shows all of the faces of a three-dimensional figure.

A rectangular prism has two rectangular bases and four rectangular lateral faces. Its lateral area is the sum of the areas of the lateral faces.

solution

Six faces make up the rectangular prism:

two rectangular bases, each with a length of
4
centimeters
and a width of
3
centimeters
two rectangular lateral faces with a length of
4
centimeters
and a width of
2
centimeters
two rectangular lateral faces with a length of
3
centimeters
and a width of
2
centimeters

This is a net for the prism. It shows all of the faces and, when folded up, will form the prism.

To find the lateral area of the prism, add up the areas of the four rectangular lateral faces.

There are two rectangular faces with a length of

4

centimeters

and a width of

2

centimeters

.

Find the area of one of them.

A

=

l

w

A

=

4

(

2

)

A

=

8

square centimeters

There are two rectangular faces with a length of

3

centimeters

and a width of

2

centimeters

.

Find the area of one of them.

A

=

l

w

A

=

3

(

2

)

A

=

6

square centimeters

Finally, multiply

8

square centimeters

and

6

square centimeters

each by 2. Then add those products.

2

(

8

)

+

2

(

6

)

=

16

+

12

=

28

The lateral area of the rectangular prism is

28

square centimeters

.

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Teacher tools

Work it out

Not feeling ready yet? These can help:

FF.3Nets of three-dimensional figures

GG.2Area of rectangles and squares

GG.6Area of triangles