The volume of a rectangular prism is 16.328 cm³. The height is 3.14 cm.

Mathematics

1 answer:

Ghella [55]3 years ago

5 0

Answer:

The area of the base is = 5.2 cm²

Step-by-step explanation:

First, we need to know the formula to calculate volume:

$volume=height XBase area$

if we change to our equations to the values we know:

$16.328 = 3.14XB$

Since 3.14 is multiplying B,we can pass it to divide the volume to the left side:

$\frac{16.328}{3.14} =B$

We calculate the operation=

$\frac{16.328}{3.14} =5.2$

And the answer is 5.2 cm²

Let me know if you have any question :D

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Please help with the steps as well!!

mariarad [96]

To solve this problem, we need to use the Pythagorean Theorem, which states that a^2 + b^2 must equal c^2. "a" is the length of one of the legs (shorter sides of the triangle) and "b" is the length of the other leg. "c" is the length of the hypotenuse.

a = y = 36.25cm

b = x = 20.93cm

a^2 + b^2 = c^2

(36.25)^2 + (20.93)^2 = c^2

1314.0625 + 438.0649 = c^2

√1752.1274 = √c^2

c = 41.8584209 ≈ 41.86

So your final answer is...

The length of the hypotenuse is about 41.86 cm.

4 0

3 years ago

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valentinak56 [21]

Answer:

the correct points would be one unit to the right, thusly, (2,4) (4,-1) (-2,1)

Step-by-step explanation:

7 0

3 years ago

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Simplify (square root 2)( square root of 2^3)

steposvetlana [31]

Answer:

$\large\boxed{(\sqrt2)(\sqrt{2^3})=4}$

Step-by-step explanation:

$(\sqrt2)(\sqrt{2^3})\qquad\text{use}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\\\=\sqrt{2\cdot2^3}\qquad\text{use}\ a^n\cdot a^m=a^{n+m}\\\\=\sqrt{2^{1+3}}=\sqrt{2^4}\\\\(1)=\sqrt{2^{2\cdot2}}\qquad\text{use}\ (a^n)^m=a^{nm}\\\\=\sqrt{(2^2)^2}\qquad\text{use}\ \sqrt{a^2}=a\ \text{for}\ a\geq0\\\\=2^2=4\\\\(2)=\sqrt{2\cdot2\cdot2\cdot2}=\sqrt{16}=6\ \text{because}\ 4^2=16$