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2 years ago

Find the volume of the rectangular prism , in cubic centimeters please answer

Mathematics

1 answer:

12345 [234]2 years ago

8 0

Answer:

the volume of the rectangular prism = 166.336 cubic cm

Hence, option C is correct.

Step-by-step explanation:

We can determine the volume of the rectangular prism using the formula given below.

The volume of the rectangular prism = Base area x Height

<u><em>Determining the Base area:</em></u>

Given

Length l = 3.2 cm

Width w = 4.6 cm

Area of the Base area = l × w

= 3.2 × 4.6

= 14.72 cm²

Thus, the area of the Base area = 14.72 cm²

As the height h = 11.3 cm

Thus,

The volume of the rectangular prism = Base area x Height

= 14.72 x 11.3

= 166.336 cubic cm

Therefore, the volume of the rectangular prism = 166.336 cubic cm

Hence, option C is correct.

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Yuliya22 [10]

The total bill paid for a person who uses 600 kWh in a month is $60.

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

Let us assume that the utility company charges $0.10 per kWh, hence:

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The total bill paid for a person who uses 600 kWh in a month is $60.

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7 0

1 year ago

Somebody please help me answer this

Inga [223]

-2x+4 I am pretty sure

8 0

3 years ago

How do you do this question?

Ksivusya [100]

Answer:

V = (About) 22.2, Graph = First graph/Graph in the attachment

Step-by-step explanation:

Remember that in all these cases, we have a specified method to use, the washer method, disk method, and the cylindrical shell method. Keep in mind that the washer and disk method are one in the same, but I feel that the disk method is better as it avoids splitting the integral into two, and rewriting the curves. Here we will go with the disk method.

$\mathrm{V\:=\:\pi \int _a^b\left(r\right)^2dy\:},\\\mathrm{V\:=\:\int _1^3\:\pi \left[\left(1+\frac{2}{y}\right)^2-1\right]dy}$

The plus 1 in '1 + 2/x' is shifting this graph up from where it is rotating, but the negative 1 is subtracting the area between the y-axis and the shaded region, so that when it's flipped around, it becomes a washer.

$V\:=\:\int _1^3\:\pi \left[\left(1+\frac{2}{y}\right)^2-1\right]dy,\\\\\mathrm{Take\:the\:constant\:out}:\quad \int a\cdot f\left(x\right)dx=a\cdot \int f\left(x\right)dx\\=\pi \cdot \int _1^3\left(1+\frac{2}{y}\right)^2-1dy\\\\\mathrm{Apply\:the\:Sum\:Rule}:\quad \int f\left(x\right)\pm g\left(x\right)dx=\int f\left(x\right)dx\pm \int g\left(x\right)dx\\= \pi \left(\int _1^3\left(1+\frac{2}{y}\right)^2dy-\int _1^31dy\right)\\\\$

$\int _1^3\left(1+\frac{2}{y}\right)^2dy=4\ln \left(3\right)+\frac{14}{3}, \int _1^31dy=2\\\\=> \pi \left(4\ln \left(3\right)+\frac{14}{3}-2\right)\\=> \pi \left(4\ln \left(3\right)+\frac{8}{3}\right)$

Our exact solution will be V = π(4In(3) + 8/3). In decimal form it will be about 22.2 however. Try both solution if you like, but it would be better to use 22.2. Your graph will just be a plot under the curve y = 2/x, the first graph.

5 0

3 years ago

Round 13.416 to the place named. hundredths The rounded number is

Paha777 [63]

Answer:

13.400

Step-by-step explanation:

Lets start with 416 First go to the 6 and since its over 4 we can automatically know that it makes the 1 in 416 to a 2 and the 2 cannot go up any higher so we make everything else below 4 a zero.

6 0

3 years ago

Noah says that 9X minus 2X plus 4X is equivalent to 3X because the subtraction sign tells us to subtract everything that comes a

lesantik [10]

Answer:

False

Step-by-step explanation:

It is given that Noah thinks :

9x - 2x + 4x = 3x as the subtraction sign after 9x tells us to subtract everything that comes after 9x.

This is wrong as according to the BODMAS rule, we have to do the addition operation first and then followed by subtraction operation.

That is

⇒ 9x - 2x + 4x

⇒ (9x -2x)+ 4x

⇒ 7x + 4x

⇒ 11x

Therefore the answer to the equation is 11x and not 3x.

8 0

3 years ago