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gizmo_the_mogwai [7]
3 years ago
10

The pyramid shown has a square base that is 14 centimeters on each side. The slant height is 15 centimeters. What is the surface

area of the pyramid?
Mathematics
1 answer:
Ksenya-84 [330]3 years ago
7 0
We know that

surface area=area of the base+4*[area of one lateral triangle side]

area of the base=b²
b is the side length of the square
b=14 cm
area of the base=14²-----> 196 cm²

area of one lateral triangle side=b*h/2
b is the side length of the square
b=14 cm
h is the height of the lateral triangle side
h is equal to the slant height 
h=15 cm

area of one lateral triangle side=14*15/2----> 105 cm²

surface area=196+4*[105]------> 616 cm²

the answer is
the surface area is 616 cm²
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