BoringReality
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The walls, ceiling and floor of a cubic room need to be painted. The edge length for the cube is 3 meters. What is the total surface area that will be painted in the room? 27 m² 30 m² 36 m² 54 m²
Please help :D

Respuesta :

budwilkins
Since it is a 3-dimensional square (cube), the edge length (L) is essentially the length, width, and height. Any cube has 6 faces (4 sides/walls, a top/ceiling, and a bottom/floor). Volumes (V) and Surface Areas (SA) of cubes are quite simple:
[tex]V = {L}^{3} \\ where \: L = a \: side \: or \: edge \\ SA = one \: face \times 6 \: faces \\ where \: each \: face = L \times L \: or \: {L}^{2} [/tex]
therefore since L = 3m, then:
[tex]SA = 6 \times {L}^{2} = 6 \: ({3})^{2} = 6 \: (9) \\ SA = 54 \: {m}^{2} [/tex]
ashishdwivedilVT

the total surface area that will be painted in the room = 36 m²

what is the surface area of a single face of a cube?

it is the area of a single face equals to a².

it is given that the walls, ceiling, and floor of a cubic room need to be painted.

the total number of faces to be painted = 2 walls + 1 ceiling + 1 floor

total faces to be painted= 4

area of each face = a²

area of 4 faces = 4a²

so total surface area to be painted= 4*3² = 36m²

hence, the total surface area that will be painted in the room = 36 m²

to get more about the surface area of a circle refer to the link,

https://brainly.com/question/410493