Through a regular hexagonal prism whose base edge is 8 cm and whose height is 12 cm, a hole in the shape of a right prism, with its end being a rhombus with diagonals 6 cm and 8 cm is drilled . Find: the total surface area of the remaining solid. ​

Respuesta :

The total surface area of the remaining solid is 48(4+root3) centimeters square.

We have given that,

Through a regular hexagonal prism whose base edge is 8 cm

Whose height is 12 cm, a hole in the shape of a right prism

What is the formula for the total surface area?

Total surface area=2(area of the base)+parameter of base×Height

Height=8cm

Parameter of base=12(2)=24

area of the base=6×root3/4×4^2

We use the given value in the formula

=2×6×root3/4×4^2+24×8

=48root3+192

=48(4+root3)cm^2

Therefore the total surface area of the remaining solid is 48(4+root3)cm^2.

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