Geometry Section 10.3 Surface Area of Prisms

Geometry Section 10.3 Surface Area of Prisms

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Multiple Choice

Warm Up:

Find the area:

• 20

• 40

• 48

• 96

Multiple Choice

How many prisms do you see here?

• 2

• 3

• 4

• 5

• 6

Multiple Choice

Find the surface area of this cube.

• 81 in

• 729 in²

• 486 in²

• 405 in

Surface Area of a Rectangular Prism

In order to do that, just find the area of one side of the shape and it'll be the same on the opposite end.

Remember that each side may have a different width or length.

Rectangular Prism

Has two parallel, congruent rectangle bases.

So we could find the area of the Yellow rectangle by multiplying Length X Width.

Length X Width = p x h
perimeter of the base times the distance between the bases.

Multiple Choice

Why can't we use (2 l + 2 w) h?

What 3D solid does this net create?

• Triangular Prism
• Triangular Pyramid
• Rectangular Pyramid
• Square Prism

Multiple Choice

What is the perimeter of the base?

• 14

• 28

• 32

• 36

Multiple Choice

What is the height?

• 6

• 8

• 10

• 48

Multiple Choice

What is the lateral area?

• 140

• 280

• 376

• 480

Multiple Choice

What is the total surface area?

• 140

• 280

• 376

• 480

When dealing with prisms be aware that the bases are not always the faces that the prisms sits on. However they are ALWAYS the non-rectangular faces.

In the prism on the right the bases are the triangles.

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Bases

Multiple Choice

What is the perimeter of the base?

(Hint: Pythagorean theorem)

• 12

• 32

• 34

• 7

• 6

Multiple Choice

What is the height? (the distance between the bases) of the prism?

• 12

• 3

• 4

• 7

• 6

Multiple Choice

What is the Lateral Area?

• 12

• 24

• 144

• 96

Multiple Choice

What is the Area of the triangle?

• 6

• 12

• 24

• 60

Multiple Choice

What is the total Surface Area of the prism?

• 96

• 144

• 150

• 156

• 168

Open Ended

How do you identify the base of a prism?

Multiple Choice

Find the total surface area of the figure shown.

• 672 cm²

• 480 cm²

• 576 cm²

• 864 cm²

Multiple Choice

LaShaun is in charge of designing a cereal box for a new company. The box will be 17.5 inches in height, 9 inches in length, and 3.5 inches in width. How much material will be needed to make one box?

• 551.25 inches³

• 250.25 inches²

• 500.5 inches²

• 551.25 inches²

Practice Section 10.3

• Google Classroom

• Go Formative for 10.3. Complete problems 5 - 10 today