This image shows a square pyramid. What is the surface area of this square pyramid? 36 ft² 72 ft² 78 ft² 84 ft² Note: Image not
drawn to scale. The figure shows a square pyramid. The slant height is shown as a dashed line perpendicular to the base edge. The length of the base edge is 6 feet. The lateral edge makes a 45 degree angle with the base edge.
2 answers:
The picture in the attached figure
we know that
<span>In a square pyramid we have five faces, 4 triangles and 1 square. So to determine surface area we need to take the areas of the triangles and square and add them all up
</span>
we know that
<span>In a square pyramid we have five faces, 4 triangles and 1 square. So to determine surface area we need to take the areas of the triangles and square and add them all up
</span>
The square's area is relatively simple:
A=b²
A=6²=36 ft²
But now let's observe the triangles, a triangle's area is:
<span>A=(<span>1/2)*</span>b*h</span>
the base is equal to 6 ft
b=6 ft
AC=BC----------> because the angle is 45°
AC=6 ft/2----> 3 ft
so
BC=3 ft
A=(1/2)*6*3----> 9 ft²
<span>Multiply the triangle's area by four to account for all four triangular faces and add the squares area for your answer</span>
<span>Surface area=36 +4*9-----> 72 ft</span>²
the answer is
72 ft²
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