Surface Area of Prisms and Pyramids

The area of the surface of a three-dimensional (3D) object, including the bases.

Total Surface Area

The area of the surface of a three-dimensional (3D) object, excluding the bases.

Lateral Surface Area

What is Surface Area?

Multiple Choice

What is total surface area?

• The area of all of the sides (including bases or top and bottom).

• The area of only the sides (not including the bases or top and bottom).

• The perimeter of the base.

• The area of the base.

Multiple Choice

Which is correct about surface area?

• Filling in a 3 dimensional shape

• wrapping the outside of a 3 dimensional shape

Multiple Choice

What does "P" stand for in the surface area formulas?

• Perimeter

• Parallel

• Perimeter of the Base

• Pi

SURFACE AREA of PRISMS​

• Opposite faces & bases are congruent

• Get the area of base - multiply times 2 (for its opposite)

• Get the area of a face - multiply times 2 (for its opposite)

• Account for the area of all faces and bases

• Add them all together together for SURFACE AREA

Subject | Subject

Some text here about the topic of discussion

Fill in the Blank

What is the surface area?

___ inches squared

Fill in the Blank

A rectangular prism is 19 feet long, 9 feet wide, and 17 feet high. What is the surface area of the rectangular prism?

____ square feet

Multiple Choice

Find the surface area of the rectangular prism.

• 140 in.²

• 83 in.²

• 166 in. ²

• 100 in.²

Surface area of a triangular prism

add the surface area of

2 triangular bases + 3 rectangular faces

Add the surface area of the bases and faces together

Measured in square units

Multiple Choice

Find the total surface area of the figure shown.

• 672 cm²

• 480 cm²

• 576 cm²

• 864 cm²

r - radius

H - Heigh of the Cylinder

Multiple Choice

What formula would you use to find...​ ​ ​ ​​

• V = Bh

• $$2\pi r^2$$  

• $$S=2\pi rh\ +2\pi r^2$$  

• $$V=\frac{1}{3}Bh$$  

• $$V=\frac{4}{3}\pi r^3$$  

Multiple Choice

What is the total surface area of the cylinder to the nearest square inch? 

• 625 in²

• 1300 in²

• 1046 in²

• 414 in²

Multiple Choice

Find the surface area of the cylinder with a radius 1 in. and a height 2 in.

• 12.56 in²

• 6.28 in²

• 39.44 in²

• 18.84 in²

Multiple Choice

Find the surface area of a cylinder with a radius of 4 and a height of 3. Use 3.14 for π

• 175.84 mm²

• 709.89 mm²

• 75.36 mm²

• 100.48 mm²

Fill in the Blank

 Find the surface area of the Cylinder

.

^

Surface Area of Pyramids

Find the Surface Area

• Find the Area of the Base (Square or other polygon)

• Find the area of one of the Triangles

• Multiply the area of the triangle by the number of lateral faces

• Add up the area of the base and the lateral faces

Lateral Area

The lateral area are all the faces except the BASE!

What is the difference between a prism and a pyramid?

• Prisms have two bases of the same shape with rectangular sides

• Pyramids have one base with triangular sides

Multiple Choice

Find the surface area of the square pyramid.

• 429 sq. cm

• 389 sq. cm

• 441 sq.cm

• 377 sq. cm

Multiple Choice

Find the surface area of the regular pyramid.

• 20 m²

• 16 m²

• 24 m²

• 12 m²

Multiple Choice

What is the slant height of the triangular pyramid?

• 12 feet

• 6 feet

• 5.2 feet

Multiple Choice

What is the height of the base of this triangular pyramid?

• 198.9 sq. inches

• 9 inches

• 13 inches

• 7.8 inches

Multiple Choice

Find the surface area of the sphere, given diameter is 10.

• 314.16 in²

• 314 in²

• 166.67 in²

• 521.24 in²

Multiple Choice

For a sphere with a radius of 8 in, what is the Surface Area?

• 804.25 in²

• 10096.2304 in²

• 2143.573 in²

• 100.48 in²

Multiple Choice

Find the surface area of the hemisphere

• 904.3 in²

• 226.1in²

• 113.0 in²

• 452.2 in²

Multiple Choice

How do you find the total surface area of a cone?

• $$\pi rl$$  

• $$\pi rl+\pi r^2$$  

• $$\frac{1}{2}Pl$$

• $$\frac{1}{2}Pl+B$$

​The formula...

Multiple Choice

How do you find the total surface area of a cone?

• $$\pi rl$$  

• $$\pi rl+\pi r^2$$  

• $$\frac{1}{2}Pl$$

• $$\frac{1}{2}Pl+B$$

Multiple Choice

A paper party hat, like the one shown, has a slant height of 6 inches and a height of 5 inches. How many square feet of cardboard would be needed to create this hat?

• 62.5 in.²

• 10 in.²

• 50 in.²

• 22.5 in.²

Multiple Choice

Find the total surface area of the cone. Round to the nearest tenth.

• 37.7 m²

• 50.3 m²

• 75.4 m²

• 25.1 m²

Multiple Choice

Find the Total Surface Area of the given figure.

• 477.52m²

• 427.26m²

• 578.05m²

• 628.32m²

Multiple Choice

Find the total surface area of the figure.

• 353.43 $$mm^2$$

• 833.67 $$mm^2$$

• 176.7 $$mm^2$$

• 566.76 $$mm^2$$