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sujeet tiwari

· started a discussion

· 1 Months ago

incorrect solution,,,m getting 564,,i have taken heights 13 and 15 for base 18 and 10 respectively....

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

Knowledge Expert

· commented

· 1 Months ago

Dear student
Given answer is correct
Please read the Question carefully
And solve once again
Ex. = ratio. ( 9, 12, 15 )
( 5, 12, 13 )
Area of triangle (BRC) = 2(1/2 x 13 x 10)
Area of triangle (DSC) = 2(1/2 x 18 x 15)


Best wishes
Team TR

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