A square pyramid and a cube have the same total surface area. The width of the cube is 8 centimeters. The base of the pyramid is

Question

2 years ago

8

equal to base of the cube. What is the slant height of the square pyramid?

1 answer:

azamat · Answer 1 · 2022-11-30T13:17:54+03:00

azamat2 years ago

6 0

Answer:

Step-by-step explanation:

surface area of cube = 6×8² = 384 cm²

lateral area of pyramid = surface area of pyramid - base area

= 384 - 8²

= 320 cm²

area of triangular face = 320/4 = 80 = ½(base)(slant height) = ½(8)(slant height)

slant height = 20 cm