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An illustration shows a pyramid with a square base. The side of the base is labeled 15 feet. The perpendicular height denoted by a right angle symbol on the lateral face from the apex to the base is labeled 9.9 feet.
Solve for the surface area of the square pyramid.
(1 point)
Responses
522 ft.2
522 ft. squared
299.25 ft.2
299.25 ft. squared
819 ft.2
819 ft. squared
148.5 ft.2
The surface area of a square pyramid can be found using the formula: A = (s^2) + 2sl, where s is the side length of the base and l is the slant height.
Given:
s = 15 feet
l = 9.9 feet
A = (15^2) + 2(15)(9.9) = 225 + 297 = 522 ft^2
Therefore, the surface area of the square pyramid is 522 ft^2.
What is the slant height in a rectangular or square pyramid?(1 point)
Responses
the distance across the triangular face
the distance across the triangular face
the height from the apex straight down to the base of the triangular face where it forms a right angle
the height from the apex straight down to the base of the triangular face where it forms a right angle
the height of the pyramid from the apex straight down to the middle of the base of the pyramid
the height of the pyramid from the apex straight down to the middle of the base of the pyramid
an edge of a triangular face
the height from the apex straight down to the base of the triangular face where it forms a right angle
Use the image to answer the question.
An illustration shows a pyramid with a rectangular base. The length of the base is labeled 20 centimeters and the width as 18 centimeters. The perpendicular heights from the apex to the base length of 20 is 16.6 centimeters and to the base width of 18 is 17.2 centimeters. The perpendicular heights are denoted by two right angle symbols on two of the lateral faces from the apex to the base by dashed lines.
What is the surface of the rectangular pyramid?
(1 point)
Responses
1,178.8 cm2
1,178.8 cm squared
1,643.2 cm2
1,643.2 cm squared
102,787.2 cm2
102,787.2 cm squared
1,001.6 cm2
The surface area of a rectangular pyramid can be found using the formula: A = lw + (l)(slant height1) + (w)(slant height2), where l and w are the length and width of the base respectively, and the slant heights slant height1 and slant height2.
Given:
l = 20 cm
w = 18 cm
slant height1 = 16.6 cm
slant height2 = 17.2 cm
A = (20 * 18) + (20 * 16.6) + (18 * 17.2)
A = 360 + 332 + 309.6
A = 1001.6 cm^2
Therefore, the surface area of the rectangular pyramid is 1001.6 cm^2.