Question

Find the surface area of the square pyramid shown below.

• A. 544 sq. in
• B. 512 sq. in
• C. 856 sq. in
• D. 800 sq. in

Answer 1

The correct option is D 800 sq. in

We know,
Surface area of pyramid = Area of the base + Sum of the areas of the 4 lateral triangular faces

Area of the base (square) = $16\times 16$ sq. in

$\text{Area of 4 triangular lateral faces =}4\times \frac{1}{2}\times 17\times 16$

$\text{Total surface area of the pyramid =}(16\times 16)+(4\times \frac{1}{2}\times 17\times 16)$

$=256+544$

$=800sq.in$
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