Question

PLZ HELP ME

What is the lateral surface area of the square pyramid below?

a

105 in²

b

57 in²

c

48 in²

d

96 in²

Answer 1

Answer: 48

Explanation:

1/2 bH

1/2(3)8=12

12×4=48

Answer 2

Lateral surface area of the pyramid=
`48\,\,inch^2`

Explanation:

The lateral surface area of the pyramid is the area of the all of its four triangular faces, excluding base :

Area of a triangle is:

`=(1)/(2) * Base * Height\\`

Base= 3 inches

Height=8 inches

Lateral surface area of the pyramid:

`=4((1)/(2)* Base * Height )\\\\=4((1)/(2) * 3 * 8 )\\\\=4((1)/(2) * 24 )\\\\=4 * 12\\\\=48\,\,inch^2`

Lateral surface area of the pyramid=
`48\,\,inch^2`