how do you calculate the surface area of a square--?

Question

with a height of 4.5cm,
a width of 6.2cm,
and a length of 14.1cm?

Answer 1

I assume you mean the surface area of a rectangular prism (a.k.a. box). A square is a 2-D object with equal dimensions of width and length and no height . But you have a 3-D object with three different dimensions.

Anyway, you can figure the area of the top and bottom:
Top = W x L
Bottom = W x L
Top and Bottom = 2 ( W x L )

And the area of the sides:
Left = H x W
Right = H x W
Left and Right = 2 ( H x W )

And the area of the front and back:
Front = L x H
Back = L x H
Front and Back = 2 ( L x H )

So you add them all up and you get:
Total surface area = 2 ( W x L + H x W + L x H )

Now plug in your values and solve.

Surface area = 2 ( 6.2 x 14.1 + 4.5 x 6.2 + 14.1 x 4.5 )

The answer is:
357.54 cm²

Answer 2

You know that the base has an area of 100, i think you can figure that out easily. The lateral face is just a triangle. We know the height of the lateral face (slant height) is 12. The triangle also shares it's base as the base of the pyramid's side. So, we have a triangle with a height of 12, and base of 10. Area of a Triangle: 1/2 x b x h 1/2 x 10 x 12 So, the area of one lateral face is 60. We have four lateral faces, so 60x4=240 Adding in the surface area of the base gets us to 340 cm squared.

Answer 3

It is a three dimensional object called Paralellpiped or perhaps 'Cuboid'. It is not a square which has only two dimensions.
with a height of 4.5cm, call it h,
a width of 6.2cm, call it w.
and a length of 14.1cm, call it l.
Then the surface area A of the Paralellpiped is given by:
A=2 (l w + l h + w h)
= 2(14.1*6.2 + 14.1*4.5 + 6.2*4.5)
= 2(87.42 + 63.45 + 27.9)
=2*178.77
= 357.54 square centimeters

Answer 4

number one it is not a sqare because all sides of a square are equal. Also, a sqare only has 4 sides. Yours have 6 sides maming it a cube.

What I would do is draw it. and label it so that you can visualised it better. The surface area is realy the are of every face of the cube. I'm not the best draw around these here parts but it will look something like this. Note: it is not drawn to scale

6.2 lenght
_______
/ | /|
/_| / | 4.5 height
| / | /
|/______|/ 14.1 width

Now calculate the are of each rectangle. There are a total of each rectangle. front(width x height), back(width x height), front lenght x height), back(lenght x height), front(lenght x width), back (lenght x width).

Doing the math is:

(6.2 x 4.5) + (6.2 x 4.5) + (14.1 x 4.5) + (14.1 x 4.5) + (14.1 x 6.2) + (14.1 x 6.2)

Ofcourse you know that because is a cube you know that two of each of the sides match. You could had simplifies the following way.

(2 x 6.2 x 4.5) + (2 x 14.1 x 4.5) + (2 x 14.1 x 6.2)=35664 cm^3

Answer 5

If you're talking about a three dimensional figure (like a cube, but not with perfectly square faces), there are six sides, two each of height x length, height x width, and length x width. So 2 times the quantity 4.5 cm x 14.1 cm, plus 2 times the quantity 4.5 cm x 6.2 cm, plus 2 times the quantity 14.1 cm x 6.2 cm. Crunch the numbers, you get 357.54 sq cm.

Answer 6

this isn't a square. A square is a 2 dimensional object with equal length and width.

For the 3 dimensional parallelipipid you have, you need to use the following formula:

2*(length*width) + 2*(length * height) + 2*(width *height) = surface area.

This is because this object has 6 faces with 3 different sizes of faces.

Answer 7

do you mean a cube?

a 2-dimensional square would have only a length and a width, no third dimension, height

anyway, "length x width" for a square
"length x width x height" for a cube

Answer 8

First, that is not a square.

If you want the surface area, you calculate the area of each side and add them together. Since each is duplicated, you can do half and then double it.

So, it would be 2*(4.5*6.2)+2*(6.2*14.1)+2*(4.5*14.1)=357.54 cm^2

Answer 9

how do you call that a sqaure?
but any way, this block has 2 sides with dimension of 4.5 X 6.2, so the surface area from these 2 sides are 2(4.5*6.2) = 55.8 cm2
2sides w/ dim of 6.2 X 14.1, SA = 2*(6.2*14.1) = 174.84 cm2
2 sides w/ dim of 14.1 X 4.5, SA = 2(14.1*4.5) = 126.9 cm2

Add-up 6 sides,

55.8 + 174.84 + 126.9 = 357.54 cm^2

Answer 10

well area of a square is length time width

looks like you need surface area of a box though:

SA = 2*(L*W) + 2*(W*H) + 2*(H*L)
basically you are just adding up the areas of each side...

SA=2(14.1*6.2) +2(4.5*6.2) +2(4.5*14.1)
=357.54 cm^2