Math Surface Area Of The . Help

Math Surface area help?

You are looking for the lateral surface area. That s the sum of the 4 triangles (but not the base).

Each triangle has a base of 18 m and a height of 12 m.

Area of one triangle:
A = ½bh

Area of four triangles:
L.A. = 4 * ½bh
L.A. = 2bh

Thus:
2 * 18 * 12
= 432 m²

Then multiply that by the cost per sq. meter.
432 * 5.75 = 2484

Answer:
$2,484

Help with surface area in math?

Micro holds 6*4*2 = 48
Jumbo holds 12*8*4 = 384
48/384 = .125
Jumbo = 8x Micro
.75 * 8 = 6
$6

Help with surface area in math!?

The mini box has a volume (not surface area) of
6x4x2 or 48 cubic units.

The jumbo box has a volume of
12x8x4 or 384 cubic units

This give you a ratio of

48/384 or 1/8 therefore the jumbo box is 8 times a large so 8 times 75 cents is 6.00 dollars.

Math Help (Surface area)?

c) quadrupled

It's a general law that if the linear dimensions of an object are all scaled by a factor of 2, all the surface areas (corresponding parts, and total) are multiplied by 2^2 = 4, and the total volume (or any corresponding part of a volume) is multiplied by 2^3 = 8.

If you need to see the details for a cylinder, it works like this

A = π r^2 + π r^2 + 2 π r h

r' = 2r
h' = 2h
A' = π r'^2 + π r'^2 + 2 π r' h'
A' = π (2r)^2 + π (2r)^2 + 2 π (2r) (2h)
A' = π (4r^2) + π(4r^2) + 8 π r h
A' = 4 π r^2 + 4 π r^2 + 4 (2 π r h)
A' = 4 (πr^2 + π r^2 + 2 π r h)
A' = 4 A

Math help (volume and surface area) ! :(?

okay volume is the measure of how much space an object takes up/holds. the formula you have for volume (πr2 h) indicates that you are finding the volume of a cylinder because the πr2 is the base (area of a circle) and the height is the height of the cylinder.

so you first find the radius of the base of the cylinder. it looks like your radius (r) is 3.2cm. and your height (h)is 5cm.

you plug in your numbers for the variables and get
V=π(3.2)squared (5)
then you square the 3.2 to get
V=π(10.24)(5)
=(51.2)π cm. cubed----- this is the exact answer
if you want an approximate you can multiply 3.14 or what ever you know like 3.1415926..... by 51.2
when you get the approximate, always use wavy equal signs to signify that it is not the exact answer.

as for surface area thats an entirely different thing and if you need help on that ask again cuz i dont feel up to it right now.

have fun

Math help!!! surface area?

For a rectangular solid you have 6 sides that come in pairs.
so SA = 2(lw+lh+wh) where l,w,h are the length, width, and height.
For a cylinder the Lateral Suface Area = 2πrh
The bases are πr² ( note there are 2) so the total area = 2πr²+2πrh

Help with my math? (surface area stuff)?

SA of a cylinder = 2*pi*r^2+2*pi*r*h

We also know that h=2r from your problem

Simple algebra gives us r=.5*h

SA=2*pi*(.5*h)^2+2*pi*(.5*h)*h

SA=250 cm^2 from your problem

250 cm^2=2*pi*(.5*h)^2+2*pi*(.5*h)*h

solve for h!

MATH HELP!! cylinder with the same volume and surface area?

Use these two formulas to solve.

Volume = height * (pi)r²

Surface area = 2(pi)r² + height * 2(pi)r

Now, the question says that the radius is equal to the height, so lets replace height with "r" because r represents radius.

Volume = r * (pi)r² = (pi)r³
Surface area = 2(pi)r² + r * 2(pi)r = 2(pi)r² + 2(pi)r² = 2(2(pi)r²) = 4(pi)r²

Now using these new formulas, simply set them equal to each other, and you will find the cylinder that has the same volume as surface area.

(pi)r³ = 4(pi)r² First, divide out the pi
r³ = 4r² Now, divide out an "r²" (remember, x^y / x^z = x^(y-z) )
r = 4

When the radius is 4, provided that the height is equal to the radius, then the volume and the surface area will be the same.