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lavanyaande

The area of the square pyramid is 105 sq inches.

Step-by-step explanation:

Given,

The base of the pyramid (b) = 5 inches

The height (h) = 8 inches

To find the area of the square pyramid.

Formula

The area of the square pyramid = 2bh + [tex]b^{2}[/tex]

Now,

The area of the square pyramid = 2×5×8 + [tex]5^{2}[/tex] sq inch

= 105 sq inches

Hence,

The area of the square pyramid is 105 sq inches.

Answer:

Area of the Square pyramid=[tex]108.8 inches^2[/tex]

Step-by-step explanation:

Area of a a square pyramid:

                                    [tex]a^2+2a\sqrt{\frac{a^2}{4}+h^2 }[/tex]

Base: [tex]side(a)= 5 inches[/tex]

[tex]Height=8 inches[/tex]

Putting the values in the formula:

Area =    [tex]5^2+2(5)\sqrt{\frac{5^2}{4}+8^2 }[/tex]

             [tex]=25+10\sqrt{\frac{25}{4}+64 }\\\\ =25+10\sqrt{6.25+64}\\\\ =25+10\sqrt{70.25}\\\\ =25+10(8.38)\\\\=25+83.8\\\\=108.8inches^2[/tex]

Area of the Square pyramid is: [tex]108.8 inches^2[/tex]

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