All categories

3 years ago

A rectangular prism has a length of 14 cm, width of 2 cm, and height of 3 cm. What is the volume?

Mathematics

2 answers:

Cloud [144]3 years ago

4 0

Answer: 84 cubic cm

Step-by-step explanation: You just do 14 times 2 and the answer times 3 which is 84 cubic cm.

Ivenika [448]3 years ago

4 0

Answer: 84 cm³

Explanation: To find the volume of a rectangular prism or a prism or a prism whose base is a rectangle, we use the following formula.

Volume = length × width × height

Since the rectangular prism has a length of 14 cm, a width of 2 cm, and a height of 3cm, we cna plug this information into the formula to get

(14 cm)(2 cm)(3 cm).

(14)(2) is 28 and (28)(3) is 84 and notice that we have

centimeters × centimeters × centimeters or cm³.

So the volume of the given rectangular prism is 84 cm³.

You might be interested in

Solve 2(3x−6)5+6=10 what is the variable? what is happening to the variable?

Radda [10]

Answer:

GRAAAAAAPES

Step-by-step explanation:

6 0

2 years ago

Let X be the damage incurred (in $) in a certain type of accident during a given year. Possible X values are 0, 1000, 5000, and

KIM [24]

Answer:

$600

Step-by-step explanation:

Let the random variable $X$ denote the damage in $ incurred in a certain type of accident during a given year. The probability distribution of $X$ is given by

$X : \begin{pmatrix}0 & 1000 & 5000 & 10\; 000\\0.81 & 0.09 & 0.08 & 0.02\end{pmatrix}$

A company offers a $500 deductible policy and it wishes its expected profit to be $100. The premium function is given by

$F(x) = \left \{ {{X+100, \quad \quad \quad \quad \quad \text{for} \; X = 0 } \atop {X-500+100} , \quad \text{for} \; X = 500,4500,9500} \right.$

For $X = 0$ , we have

$F(X) = 0+100 = 100$

For $X = 500$ ,

$F(X) = 500-500+100 = 100$

For $X = 4500$ ,

$F(X) = 4500-500+100 = 4100$

For $X = 9500$ ,

$F(X) = 9500-500+100 = 9100$

Therefore, the probability distribution of $F$ is given by

$F : \begin{pmatrix} 100 & 100 & 41000 & 91000\\0.81 & 0.09 & 0.08 & 0.02\end{pmatrix}$

To determine the premium amount that the company should charge, we need to calculate the expected value of $F.$

$E(F(X)) = \sum \limits_{i=1}^{4} f(x_i) \cdot p_i = 100 \cdot 0.81 + 100 \cdot 0.09 + 4100 \cdot 0.08 + 9100 \cdot 0.02$

Therefore,

$E(F) = 81+9+328+182 = 600$

which means the $600 is the amount the should be charged.

3 0

3 years ago

Find the midpoint of the line segment joining the two points.<br> (1.8, -3.4) and (-0.4, 1.4)

murzikaleks [220]

Answer:

(0.7, -1)

Step-by-step explanation:

To find the coordinates for the midpoint you add each coordinate together and divide by 2.

M = ( $\frac{1.8 - 0.4}{2}, \frac{-3.4 + 1.4}{2}$ )

M = $(\frac{1.4}{2}, \frac{-2}{2})$

M = (0.7, -1)

5 0

2 years ago

A partner calls for 2 1/4 yard of material and 1 1/4 yards of lining.how much toyal fabric needed?

geniusboy [140]

3 1/2

2 1/4+ 1 1/4 = 3 2/4
or 3 1/2

7 0

3 years ago

I need help I don’t know how to do it

daser333 [38]

If a line is drawn across the shape connecting two of the angles it makes two triangles. The sum of the angles in a triangle is 180 degrees.
Since this shape makes two triangles the sum of the inside angles is 2 * 180 = 360 degrees

(2x - 17) + 90 + x + 59 = 360
combine like terms
3x + 132 = 360
3x = 360 - 132
3x = 228
x = 76

6 0

3 years ago