Tom has already baked 4 cakes, and he can bake 1 cake with each additional stick of butter he buys. How many additional sticks o
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If you check the picture below
the rectangular solid is a 6x6x6, so all sides are equal thus is a cube
is painted on all faces, so the only part that's painted is the faces, ok
then you split it like in the picture, you have all 6 faces painted there,
now, let's say each of those 6 faces are cut in 2cm
how many of those 2cm pieces will each have? so get that amount for each and sum them up, that's how many of the cubes have one face painted
only the cubes that are part of the face, which was painted, are the ones that have a painted face themselves
keep in mind that each face is a 6x6 rectangle
notice the 2nd picture below
the rectangular solid is a 6x6x6, so all sides are equal thus is a cube
is painted on all faces, so the only part that's painted is the faces, ok
then you split it like in the picture, you have all 6 faces painted there,
now, let's say each of those 6 faces are cut in 2cm
how many of those 2cm pieces will each have? so get that amount for each and sum them up, that's how many of the cubes have one face painted
only the cubes that are part of the face, which was painted, are the ones that have a painted face themselves
keep in mind that each face is a 6x6 rectangle
notice the 2nd picture below
The area of the shaded region is option first is correct.
It is given that a circle is inscribed in a regular hexagon with sides of 10 feet.
It is required to find the shaded area (missing data is attached shown in the picture).
<h3>What is a circle?</h3>It is defined as the combination of points that and every point has an equal distance from a fixed point ( called the center of a circle).
We have a hexagon with a side length of 10 feet.
We know the area of the hexagon is given by:
where a is the side length.
⇒
We have the shortest length = x feet and from the figure:
2x = 10
x = 5 feet
The radius of the circle r = longer leg
feet
The area of the circle a = ⇒
The area of the shaded region = A - a
Thus, the area of the shaded region is
Learn more about circle here:
