Question

Find the following for the given pyramid: Slant height, lateral area, surface area, and volume. Please show all work!

Answer 1

You have:
 1)The slant height is:
 Slant height=√[(8 inches)²+(8 inches)²]
 Slant height=10 inches
 2)The lateral area is:
 LA=(Perimeter)(Slant height)/2
 LA=(6 inches)(4)(10 inches)/2
 LA=120 inches²
 3)The Surface area is:
 SA=Base area+(PerimeterxSlant height/2)
 SA=(6 inches)²+(24 inchesx10 inches/2)
 SA=156 inches²
 4)The volume is:
 V=(6 inches)²(8 inches/3)
 V=96 inches³