Surface Area of Square Pyramids

Surface Area of Square Pyramids

By Pamela Wall

​If you add the areas of the exterior surfaces of a solid figure (what's on the outside), you will have the surface area (SA). It is measured in square units.

​Surface Area: the total area of all of the surfaces of a solid (3-dimensional) shape

Multiple Choice

Which measurement is used in surface area? Slant height or height?

• slant height

• height

Fill in the Blanks

What does the "l" represent in the formula for the surface area of a pyramid?

Fill in the Blanks

What does the "p" represent?

Multiple Choice

How do you find the perimeter of a square?

• side squared

• 4s

• lw

• 2s

Fill in the Blanks

What does "B" represent in the formula for surface area?

Multiple Choice

How do you calculate the area of a square (the base of the pyramid) ?

• 4s

• 1/2bh

• $$s^2$$  

• 2l + 2w

​Step one: write the measurements needed to complete this formula.

​Step one: write the measurements needed to complete this formula.

​l = 10n

p = 4s

= 4(6)

=24​

B = s² = 6² = 36​

​Step one: write the measurements needed to complete this formula.

​l = 10

p = 4s

= 4(6)

=24​

B = s² = 6² = 36​

​Step two: replace these values in the formula

1/2(​10)(24) + 36

​Step one: write the measurements needed to complete this formula.

​l = 10

p = 4s

= 4(6)

=24​

B = s² = 6² = 36​

​Step two: replace these values in the formula

1/2(​10)(24) + 36

​Step three: Evaluate using your order of operations. Be sure to attach your correct unit of measure.

SA = 156 cm²​

How to use Desmos

Type your formula into Desmos

Some text here about the topic of discussion

How to use Desmos

Some text here about the topic of discussion

• Type your formula into Desmos.

• Type in your values.

How to use Desmos

Some text here about the topic of discussion

• Type your formula into Desmos.

• Type in your values.

• Your answer is on the line with the formula.​

Multiple Choice

What is the surface area of this pyramid?

(Be sure to include the correct unit of measure.)

• $$15\ in^2$$  

• 35 in²

• 125 in²

• 96 in²

Multiple Choice

What is the surface area of this pyramid?

• 304 m²

• 23 m²

• 55 m²

• 224 m²