To find the surface area of a rectangular pyramid, you need to calculate the area of the base and the area of the three triangular faces.
First, find the area of the rectangular base:
Area = length x width
Area = 14 cm x 12 cm
Area = 168 cm2
Next, find the area of one of the triangular faces:
Area = 1/2 x base x height
Area = 1/2 x 14 cm x 10 cm
Area = 70 cm2
Since the rectangular pyramid has three identical triangular faces, the total area of the triangular faces is:
(70 cm2) x 3 = 210 cm2
Add the base area and the total triangular face area to find the total surface area of the rectangular pyramid:
Total Surface Area = 168 cm2 (base) + 210 cm2 (triangular faces)
Total Surface Area = 378 cm2
Therefore, the surface area of the rectangular pyramid is 378 cm2.
Surface Area Unit Test
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Question
Use the image to answer the question.
An illustration shows a pyramid with a rectangular base. The length of the base is labeled 14 centimeters and the width as 12 centimeters. The perpendicular heights from the apex to the base length of 14 is 10 centimeters and to the base width of 12 is 10.6 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 area of the rectangular pyramid?
(1 point)
cm2
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1 answer