The exterior of a cube is to be painted. Each side of the cube measures 10 feet.?

Question

Four sides of the cube are to be painted with a paint that costs $5 per ssquart foot. The remainder of the cub is to be painted with paint that cost $10 per square foot. How much will it cost to paint the cube?

Answer 1

Yes, you'll need to find the area of each of the faces of the cube.

Reminder a cube is a 6 sided figure with 6 square faces. It is the same shape as a dice that you throw in board games.

Each edge is 10 feet,

so the area of each face is 10 x 10 feet squared

=100feet squared.

Four of these sides will have a total area of 4 x 100 feet squared

=400 feet squared.

The paint used costs $5 per square foot,

so total cost for the 4 faces with ceaper paint = $400 x 5

=$2000

Now consider the other 2 faces,

They have a total area of 2 x 100 square feet

= 200 sq. ft.

Cost of painting these is $10 per sq.ft.

=$10 x 200

= $2000

As each lot of painting costs $2000

The whole cube (6 faces) costs $2000+ 2000

=$4000

Answer 2

We must get the area of 1 side 1st.
10*10 = 100 squarefeet. 100 * 4 sides = 400 squarefeet.Then we multiply 5* 400 = 2000$. As for the remainder 10*10*2*10 = 2000$. Add those 2 and the answer is 4000$.

WOW thats a lot of expenses just to paint a stupid cube.

Answer 3

Since this is a cube, all sides of the cube have the same area.
So first, you need to calculate the area of one face:

Area = side x side
Area = 10 x 10
Area = 100ft^2

now, four sides of the cube need to be painted at a cost of $5/ ft^2
so,

Four Faces = 4 x 100 x 5
= $2000

which leaves us with 2 faces at $10/ft^2 (cube has 6 faces total)
so,
2 Faces = 2 x 100 x 10
= $2000

therefore, Total Cost = $2000 + $2000 => $4000

Answer 4

10x10x4x$5 = $2000 for the 4 cheap sides, plus
10x10x2x$10 = $2000 for the expensive sides, for a total of
$4000 worth of paint.


...then there's the cost of labor to consider.

Oh, and that's hellishly expensive paint you're using there! Most gallons of paint go for the $25 range, and will cover a lot more than 5 square feet -- more like 350. So normally, you would be able to paint the 400 square feet of sides with one gallon, if you stretch it, or 2 if you want to be safe. Then double that for the last side, and you have:
2x$25 = $50 for the sides, and
2x$50 = $100 for the top, total of $150.

...but that's regular paint. You're clearly using something special. =)

Answer 5

if the edge of this cube measures 10 feet, then the surface area of 4 sides = 4*10^2 = 400 square feet and the surface area of 2 sides = 200 square feet. the cost of painting the 4 sides = $5*400 = $2000.00. the cost of painting the 2 sides = $10*200 = $2000.00. this makes the cost of painting the cube = $4000.00.

Answer 6

Well.. let's see. Since you state it is a cube, the all sides must be equal in width and height. This gives each side a surface area of 100sqft (10 x 10 = 100). A cube has 6 sides.

Four sides are to be painted with the $5 paint. so....
100 (surface area of side) X 4 (# of sides) x 5 = $2,000

Two sides are to be painted with $10 paint. so...
100 x 2 x 10 = $2,000

Add these two amount together and you get $4,000 for paint.

Now... we consider a painter with an hourly rate of $10 and a work method that allows him to paint 50sqft per hour. So... calculating the total sqft of the cube (100 * 6) as 600sqft and divide that by the painters hourly ability of 50sqft and you get a total of 12 hours. 12 hours at $10 per hour is $120.

Now.. that painter is going to charge for his supplies (brushes, rollers, drop cloths, etc) and I would estimate that at about $10. Multiply that amount by the local sales tax of 8 1/4% (10 * .0825) and add that amount to the supply cost of $10 and you get a net total of $10.83

Soo...
Paint = $4,000
Labor = $120
Supplies = $10.83
Total cost to paint the cube = $4,130.83

There you go! Your answer plus some!

Answer 7

There are 6 sides to a cube.

4 sides --> $5/sq ft.
2 sides --> $10/sq ft

10*10 = 100 ft^2

100*4 = 400
100*2 = 200

400*5 + 200*10 = $4000

Answer 8

a cube has 6 sides
each side is 10*10 = 100 sq. feet
4 sides * 5 dollars/sq. foot * 100 sq. feet / side = $2000
2 sides * 10 dollars/sq. foot * 100 sq. feet / side = $2000
total = $4000

Answer 9

$4000