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The solid is made up of 3-cm cubes. All the surfaces of the solidare painted.(a) How many cubes have only two faces painted?(b) What is the surface area of the painted cubes?

The Solid Is Made Up Of 3cm Cubes All The Surfaces Of The Solidare Painteda How Many Cubes Have Only Two Faces Paintedb What Is The Surface Area Of The Painted class=

Sagot :

Step by step explanation:

(a) How many cubes have only two faces painted?

As you can see in the diagram above, there are 4 on the front face, there will also be 4 on the back and another 4 missing that do not appear on those two faces (blue).

There are 12 cubes that have only 2 faces painted.

(b) What is the surface area of the painted cubes?

Each face of that cube has an edge of 9 cm, so the surface of each face must be:

[tex]A_1=9cm\cdot9cm=81cm^2[/tex]

And since the cube has 6 faces, the total must be:

[tex]\text{Area}=6\cdot81cm^2=486cm^2[/tex]

486 cm^2

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