Question
What is the surface area of a square pyramid where the base edge is 1.5 cm and the slant height is 4 cm? Round your answer to the nearest hundredth. (1 point)
cm ^ 2
cm ^ 2
Answers
Answered by
GPT 3.5
The formula to calculate the surface area of a square pyramid is given by:
Surface Area = Base Area + (1/2) * Perimeter of base * Slant height
In this case, the base edge is 1.5 cm, so the base area would be (1.5 cm)^2 = 2.25 cm^2.
Since it is a square pyramid, the perimeter of the base would be 4 times the base edge, which is 4 * 1.5 cm = 6 cm.
The slant height given is 4 cm.
Using the formula, the surface area would be:
Surface Area = 2.25 cm^2 + (1/2) * 6 cm * 4 cm
Surface Area = 2.25 cm^2 + 12 cm^2
Surface Area = 14.25 cm^2
Round to the nearest hundredth:
Surface Area ≈ 14.25 cm^2
Therefore, the surface area of the square pyramid is approximately 14.25 cm^2.
Surface Area = Base Area + (1/2) * Perimeter of base * Slant height
In this case, the base edge is 1.5 cm, so the base area would be (1.5 cm)^2 = 2.25 cm^2.
Since it is a square pyramid, the perimeter of the base would be 4 times the base edge, which is 4 * 1.5 cm = 6 cm.
The slant height given is 4 cm.
Using the formula, the surface area would be:
Surface Area = 2.25 cm^2 + (1/2) * 6 cm * 4 cm
Surface Area = 2.25 cm^2 + 12 cm^2
Surface Area = 14.25 cm^2
Round to the nearest hundredth:
Surface Area ≈ 14.25 cm^2
Therefore, the surface area of the square pyramid is approximately 14.25 cm^2.
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