Answered

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What is the surface area of a right square pyramid with height of 3 centimeters and a base that measures 8 centimeters by 8 centimeters?

Sagot :

Okay, here we have this:

Considering the provided measures, we are going to calculate the requested surface area, so we obtain the following:

So to calculate the surface area we will use the following formula:

A = a(a + √(a^2 + 4h^2))

A = 8 cm(8cm + √((8 cm)^2 + 4(3 cm)^2))

A = 8 cm(8cm + √(64 cm^2 + 4*9 cm^2))

A = 8 cm(8cm + √(64 cm^2 + 36 cm^2))

A = 8 cm(8cm + √(100 cm^2))

A = 8 cm(8cm + 10 cm)

A = 8 cm(18 cm)

total surface areaA = 144 m^2

Finally we obtain that the total surface area is equal to 144 m^2

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