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Naveen Singh

· started a discussion

· 1 Months ago

SeemsWrong (Question: 95646.0 )

Shouldn't it be 180 + 18*13 + 15*10

Question:
A rectangle based pyramid, length and width of the base are 18cm and 10cm respectively. Find the total surface area, if its height is 12cm.
Options:
A) 267 cm2
B) 568 cm2
C) 580 cm2
D) None of these
Solution:

Ans (c):


 


Given that,


Height, PU=QX=RV=WS= 12 cm

Length, AB=DC=18 cm

Width, AD=BC=10 cm


Now,


Total Surface Area = Area of Rectangle ABCD + 2(Area of triangle BRC) + 2(Area of triangle DSC)


= 18x10 + 2(\(\cfrac{1}{2}\times BC \times RV\)) + 2(\(\cfrac{1}{2}\times DC \times WS\))

=180+ 13x10 + 18x15

=180+130+270

=580

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