Question

A square pyramid is shown sitting on its base.

please reply with

The surface area of the pyramid is _____
square centimeters.

Answer 1

A = 384 cm²

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

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

Explanation:

Area of a Right Square Pyramid:

`=a^2+2a\sqrt{(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{(12^2)/(4)+8^2 }\\\\ =144+24*\sqrt{(144)/(4)+64 } \\\\=144+24*√(36+64)\\\\ =144+24*√(100) \\\\=144+24*10\\\\=144+240\\\\=384cm^2\\\\`

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