Question

A square pyramid is shown sitting on its base.

please reply with

The surface area of the pyramid is _____
square centimeters.

Answer 1

Answer:

A = 384 cm²

Step-by-step explanation:

Answer:

h = 8 cm

s = 10 cm

a = 12 cm

e = 11.6619 cm

r = 6 cm

V = 384 cm3³

L = 240 cm²

B = 144 cm²

A = 384 cm²

h = height

s = slant height

a = side length

e = lateral edge length

r = a/2

V = volume

L = lateral surface area

B = base surface area

A = total surface area

Formula: A = a(a + √(a² + 4h²))

Answer 2

Answer:

Surface area of the pyramid = $384cm^2$

Step-by-step explanation:

Area of a Right Square Pyramid:

     $=a^2+2a\sqrt{\frac{a^2}{4}+h^2 }$

The pyramid have base length: $a=12cm$

Height:  $h=8cm$

Putting the values in the formula:

Area of the Right Square pyramid;

                         $=12^2+2(12)*\sqrt{\frac{12^2}{4}+8^2 }\\\\ =144+24*\sqrt{\frac{144}{4}+64 } \\\\=144+24*\sqrt{36+64}\\\\ =144+24*\sqrt{100} \\\\=144+24*10\\\\=144+240\\\\=384cm^2$

The Surface area of the pyramid is $384cm^2$