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OlgaM077 [116]
2 years ago
7

Type the correct answer in each box. The volume of a cube is given by and the total surface area of a cube is given by , where s

is the side length of the cube. If the side length of a cube is 5 inches , the volume of the cube is ____ cubic inches and its total surface area is ____ square inches.
Mathematics
1 answer:
larisa86 [58]2 years ago
7 0

Answer:

hope this will help you a lot

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A rectangular prism has a width of 51 ft and a volume of 144 ft3. Find the volume of a similar prism with a width of 17 ft. Roun
meriva

Answer:

5.3\ ft^3

Step-by-step explanation:

Similar shapes with scale factor k have proportional volumes with coefficient k^3 i.e.

\dfrac{V_{large}}{V_{small}}=k^3,

where

k=\dfrac{\text{width of large prism}}{\text{width of small prism}}.

Since

\text{width of large prism}=51\ ft,\\ \\\text{width of small prism}=17\ ft,

then

k=\dfrac{51}{17}=3.

Hence,

\dfrac{144}{V_{small}}=3^3\Rightarrow V_{small}=\dfrac{144}{27}=\dfrac{16}{3}=5\dfrac{1}{3}\approx 5.3\ ft^3.

7 0
3 years ago
Tell whether the ordered pair is a solution to the system.
DerKrebs [107]

Answer:

no

Step-by-step explanation:

no. substitute -1 for x and -2 for y.

the first one is -1 - 10

this equals -11 not 3

7 0
2 years ago
Read 2 more answers
.46 repeating as a fraction in simplest form
My name is Ann [436]

Answer:

7/15

Step-by-step explanation:

0.4 6  =  0 . 6  - 0.2

0.46  = 6/9 ⋅ 0.9 - 0.2

0.46 = 6/9 - 1/5

0.46 = 2/3 - 1/5

0.46 = 10/15 - 3/15

0.46 = 7/15

Note that  7  and  15  have no common factors larger than  1 , so this is in simplest terms.

4 0
3 years ago
There is 1⁄3 gallon of water in a 3-gallon container. What fraction of the container is filled? (There’s also a picture :). )
amm1812

Answer:

There is 1/3 gallon of water in a 3 gallon container. What fraction of the container is full? ONE-THIRD OF A GALLON DIVIDED BY 3 GALLONS EQUALS ONE-NINTH.

4 0
3 years ago
Solve the proportion. <br> x/4 = 2/5<br> x = ?
max2010maxim [7]
Multiply 4 on both sides.

x = 8 / 5

x = 1 3/5

Hope this helps!
8 0
3 years ago
Read 2 more answers
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