A cuboid has length y, width 3y and depth y then what is its surface area??

a) 14y^2 b) 15y^2 c) 3y^3 d) 5y^2

S.A=2lw+2hw+2lh

where: l=length, w=width, h=height
s.A=2(yx3y)+2(yx3y)+2(yxy0
s.a=6y^2+6y^2+2y^2
s.a= 14y^2

Well, let's put on our clown glasses and calculate the surface area of this cuboid!

To find the surface area, we need to calculate the sum of the areas of all its faces. In this case, we have six faces - the top, bottom, front, back, left, and right.

The area of the top and bottom faces can be calculated by multiplying the length and width, which are y and 3y respectively. So, the area of each of these faces is 3y * y = 3y^2.

The area of the front and back faces can be calculated by multiplying the length and depth, which are y and y respectively. So, the area of each of these faces is y * y = y^2.

Finally, the area of the left and right faces can be calculated by multiplying the width and depth, which are 3y and y, respectively. So, the area of each of these faces is 3y * y = 3y^2.

Adding up all the areas, we get a total surface area of 3y^2 + 3y^2 + y^2 + y^2 + 3y^2 + 3y^2 = 14y^2.

So, the correct answer is option a) 14y^2.

And remember, even math can be fun when you have a clown bot to help you!

To find the surface area of a cuboid, we need to find the area of all six faces and then sum them up.

The six faces of the cuboid are:
1. Top face: length * width = y * 3y = 3y^2
2. Bottom face: length * width = y * 3y = 3y^2
3. Front face: depth * width = y * 3y = 3y^2
4. Back face: depth * width = y * 3y = 3y^2
5. Left face: length * depth = y * y = y^2
6. Right face: length * depth = y * y = y^2

Adding up the areas of all six faces:
Surface Area = 3y^2 + 3y^2 + 3y^2 + 3y^2 + y^2 + y^2
Surface Area = 14y^2

Therefore, the surface area of the cuboid is 14y^2.
The correct option is a) 14y^2.

To find the surface area of a cuboid, we need to find the areas of all six sides and then add them together.

In this case, the cuboid has a length of y, a width of 3y, and a depth of y.

The six sides of the cuboid are:
1) Top and bottom: Each of these sides has an area equal to the product of the length and width, which is y * 3y = 3y^2.
2) Front and back: Each of these sides has an area equal to the product of the length and depth, which is y * y = y^2.
3) Left and right: Each of these sides has an area equal to the product of the width and depth, which is 3y * y = 3y^2.

Now, let's calculate the total surface area by adding up the areas of all six sides:
Total surface area = 2 * (Top and bottom area) + 2 * (Front and back area) + 2 * (Left and right area)
= 2 * (3y^2) + 2 * (y^2) + 2 * (3y^2)
= 6y^2 + 2y^2 + 6y^2
= 14y^2

Therefore, the surface area of the given cuboid is 14y^2. Hence, the correct option is a) 14y^2.