Math Problem: Quadrilateral Pyramid - Question No. 24051, Algebra

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Quadrilateral pyramid Calculate the surface of a quadrilateral pyramid with a rectangular base, dimensions a = 8 cm, b = 6 cm, and height H = 10 cm.

Final Answer:

S = 196.1444 cm2

Step-by-step explanation:

h=10 cm a=8 cm b=6 cm h1=h2+(b/2)2=102+(6/2)2=109 cm≐10.4403 cm h2=h2+(a/2)2=102+(8/2)2=2 29 cm≐10.7703 cm S1=2a⋅ h1=28⋅ 10.4403=4 109 cm2≐41.7612 cm2 S2=2b⋅ h2=26⋅ 10.7703=6 29 cm2≐32.311 cm2 S=2⋅ S1+2⋅ S2+a⋅ b=2⋅ 41.7612+2⋅ 32.311+8⋅ 6=196.1444 cm2 Try another example

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You need to know the following knowledge to solve this word math problem:

algebra

isolating a variable in the formula

solid geometry

pyramid
surface area

planimetrics

Pythagorean theorem
right triangle
area of a shape
rectangle

Grade of the word problem

practice for 13 year olds
practice for 14 year olds

We encourage you to watch this tutorial video on this math problem: video1 video2

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