What is the slant height in a rectangular or square pyramid?(1 point)
Responses
an edge of a triangular face
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
the height from the apex straight down to the base of the triangular face where it forms a right angle
the distance across the triangular face
the distance across the triangular face
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
the height of the pyramid from the apex straight down to the middle of the base of the pyramid
Surface Area of Rectangular Pyramids Quick Check
5 of 55 of 5 Items
Question
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
102,787.2 cm2
102,787.2 cm squared
1,001.6 cm2
1,001.6 cm squared
1,643.2 cm2
1,643.2 cm squared
1,178.8 cm2
To find the surface area of a rectangular pyramid, you need to calculate the area of the base (rectangle) and the area of the lateral faces (triangles) separately and then add them together.
Area of the base = length x width = 20 cm x 18 cm = 360 cm²
For the lateral faces:
1. Calculate the area of one triangular face using 1/2 base x height:
Area of one triangular face (with base length 20 cm and height 16.6 cm) = 1/2 x 20 cm x 16.6 cm = 166 cm²
Area of the other triangular face (with base width 18 cm and height 17.2 cm) = 1/2 x 18 cm x 17.2 cm = 154.8 cm²
Total surface area = Base area + 2 x Lateral face area
Total surface area = 360 cm² + 166 cm² + 154.8 cm² = 680.8 cm²
Therefore, the surface area of the rectangular pyramid is 680.8 cm². None of the provided responses match this calculation.
choose the BEST answer please!!!
help!!!!!
Based on the calculations provided, the closest option would be:
1,643.2 cm2
1,643.2 cm squared
So, 1,643.2 cm² would be the best answer from the options given.