Ask question

Ask question

All categories

MariettaO [177]

4 years ago

14

A cube has edges measuring 6 centimeters each. Find the surface area of the cube. *

1 answer:

Whitepunk [10]4 years ago

7 0

Given that a cube has edges measuring 6 centimeters each.

We know that cube is like a box whose faces are square.

So the surface area is given by formula $= 6x^2$

where x represents side length of the cube.

Given that side length of the cube = 6 centimeters

so plug this value into above formula:

Surface area $= 6a^2$

Surface area $= 6(6)^2$

Surface area = 6(36)

Surface area = 216

Hence final answer is 216 square centimeter.

You might be interested in

A box with a square base and open top must have a volume of 32,000 cm3. Find the dimensions of the box that minimize the amount

nata0808 [166]

Answer:

Step-by-step explanation:

Given

Volume of box $V=32,000 cm^3$

Let b be the square base and h be the height of box

Volume $V=b^2\cdot h$

$h=\frac{V}{b^2}$

Surface Area $A=b^2+4bh$

$A=b^2+4b\times \frac{V}{b^2}$

$A=b^2+4\frac{V}{b}$

Differentiate A w.r.t b to get maxima/minima

$\frac{\mathrm{d} A}{\mathrm{d} b}=2b-\frac{4\times V}{b^2}$

$2b-\frac{4\times V}{b^2}=0$

$b^3=\frac{4V}{2}$

$b^3=\frac{4\times 32,000}{2}$

$b=40 cm$

$[tex]h=\frac{32,000}{40\times 40}$

$h=20 cm$

4 0

3 years ago

2 number cubes are rolled what is the probability that the sum if the numbers rolled is either a 4 or a 10

goldenfox [79]

With 2 cubes, there are 3 ways to roll a sum of 4... 1 and 3, 3 and 1, 2 and 2.
with 2 cubes, there are 3 ways to roll a sum of 10....6 and 4, 4 and 6, 5 and 5.

total possible outcomes = (6 * 6 ) = 36

probability of this happening is 6/36 reduces to 1/6

4 0

4 years ago

the sugar-sweet company is going to transport its sugar in to Market it will cost $6,500 to rent trucks plus $150 for each ton o

Inessa05 [86]

Answer:

$ 3750 = truck rental; $125 per ton of sugar transported

C is cost; S is number of tons transported

Equation relating C to S would be a linear equation like y = mx + b

C = 125S + $3750

This equation would be graphed in the first quadrant only

you would start with your y-intercept at (0, 3750)

As x increases by 1, your y increases by 125 yielding these points:

(1, 3875) (2, 4000) (3, 4125) etc.

This shows that for each increase by one ton of sugar, the cost goes up $125

Step-by-step explanation:

3 0

3 years ago

What’s the radius of a sphere with a surface area of 4pie square feet

In-s [12.5K]

Set up an equation

$4\pi r^2$ = $4\pi$

Solve.

$4\pi /4\pi = 1$

$r^2 = 1$

$r = \sqrt{1}$

$r = 1$

Answer

$r = 1$

6 0

3 years ago

Write and solve a real world problem that can be modeled by the equation 0.75x-18.50=0.65x.

Mrrafil [7]

Diana had chocolate, and ate some, leaving 0.75 of it for Sarah.
Sarah ate 18.5 grams of it and return the rest to Diana, which was 65% of the original chococate.
How much chocolate did Diana have at the beginning?
and the solution is:
0.75x-18.50=0.65x
0.75x-0.65x=18.500.1x=18.50x=185
So Diana had 185 grams of chocolate. Hoped that helped!!!

6 0

3 years ago