Question

What shape is this and can you help me with the questions please and thank you so much

Answer 1

a) There's no shape name for that, however, it's a hexagonal pyramid put on top of a hexagonal prism's base.

b) There are 3 shape types that make up the surface area; 6 triangles, 6 rectangles and a hexagon. These 13 shapes make the surface area.

Triangles (6)

A = 6(bh/2)
= 6[(6)(5)/2]
= 6(30/2)
= 6(15)
= 90

Rectangles (6)

A = 6(bh)
= 6[(4)(6)]
= 6(24)
= 144

Hexagon (1)

A =
`(3 √(3) )/(2) a^2`
=
`(3 √(3) )/(2) 4^2`
= 5.19/2 (16)
= 2.6 (16)
= 41.6 (ish)

41.6 + 144 + 90
41.6 + 234
275.6

Therefore, surface area is approximately 275.6cm^2