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Mathematics

Grade9

Easy

Question

Find the surface area of the figure. Round your answer to the nearest hundredth.

$2, 400 {ft}^{2}$
$1, 200 {ft}^{2}$
$1, 560 {ft}^{2}$
$18, 000 {ft}^{2}$

hint Hint:

The surface area of Pyramid = where p is the perimeter of the base , B is area of the base and l is the slant height of the pyramid.

The correct answer is: $2 comma 400 ft squared$

Give the slant height of the given pyramid is 20ft.
The base a square with side length 30 ft.
$T h e space p e r i m e t e r space o f space b a s e space equals space 4 space x space space 30 space equals space 120 space f t T h e space a r e a space o f space t h e space b a s e space i s space 30 squared equals space 900 space ft squared U s e space t h e space s u r f a c e space a r e a space f o r m u l a comma space S u r f a c e space a r e a space equals space B space plus space 1 half space cross times space P l S. A space equals space 900 space plus space 1 half space left parenthesis 120 right parenthesis left parenthesis 20 right parenthesis equals 2 comma 400 space ft squared$
Therefore, the surface area of the given pyramid is $2 comma 400 ft squared$ .

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