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Debora [2.8K]
2 years ago
13

Find the volume of each prism. Round to the nearest tenth if necessary

Mathematics
1 answer:
Anvisha [2.4K]2 years ago
6 0

Answer:

3. 84m^3

4. 16.2 ft^3

5. 14.7 ft

6. 288 m

hope this helps

have a good day :)

Step-by-step explanation:

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Select all quantities that are proportional to the diagonal length of a square.
horsena [70]

Answer:

B. Perimeter of a square and

C. Side length of a square​

Step-by-step explanation:

if n= side length of square then

  • Area of square is n^{2}
  • Perimeter of a square is 4×n
  • diagonal length of a square is \sqrt{2} × n

Thus,

Perimeter of square can be expressed as

2\sqrt{2}×diagonal length of a square

Side length of a square can be expressed as

\frac{1}{\sqrt{2} }×diagonal length of a square

but Area of square is

\frac{1}{\sqrt{2} }×n×diagonal length of a square

As a Result,  Area of square is <em>also dependent of the value n</em>, wheras in other cases it is <em>a proportion of diagonal length of a square</em>

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3 years ago
Pythagorean Theorem:a2 + b2 = c2 Re−write the formula solving for b2 .
gulaghasi [49]

Answer: c2 - a2 = b2

Step-by-step explanation: to isolate b2 you have to subtract a2 from both sides to get c2 - a2 = b2

6 0
3 years ago
suppose a triangle has two sides of length 2 and 3 and that the angle between these two sides is 60. what is the length of the t
arlik [135]

Answer:

  √7 ≈ 2.646

Step-by-step explanation:

The law of cosines is applicable. It tells you ...

  c² = a² + b² - 2ab·cos(C) . . . . . where a, b, c are triangle side lengths, and angle C is opposite side c.

Filling in the given information, you have ...

  c² = 2² + 3² - 2·2·3·cos(60°) = 4 + 9 - 12·(1/2) = 7

  c = √7 ≈ 2.646

The length of the third side is √7, about 2.646 units.

3 0
3 years ago
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Is 5 a integer or a whole number or a rational number? or all?
madreJ [45]
Integer??? Idk I'm sorry....
5 0
3 years ago
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Two similar solids have edges of 12 feet and 24 feet. If the smaller
nekit [7.7K]

Answer: 2,160\ ft^3

Step-by-step explanation:

The first step is to find the ratio of the lengths.

According to the information given in the exercise, one the solids has edges of  12 feet and the other solid has edges of 24 feet.

Therefore, the ratio of the length of the smaller solid to the length of the is the following:

k=\frac{24\ ft}{12\ ft}\\\\k=2

Now, the ratio to the volumes of the smaller solid to the other one is the following:

k^3=2^3=8

Then, knowing that the volume of the smaller solid is:

V_s=270\ ft^3

You get that the volime of the larger solid is:

V_l=270\ ft^3*8\\\\V_l=2,160\ ft^3

8 0
3 years ago
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