All categories

2 years ago

Find the volume of the rectangular prism. 9 cm 9 cm 9 cm

Mathematics

1 answer:

cricket20 [7]2 years ago

3 0

Answer:

$3672 cm^3$

Step-by-step explanation:

There is a typo in the question, the lengths of the sides of the prism are:

24 cm

9 cm

17 cm

(otherwise, if all sides were 9 cm, it would be a cube, not a prism)

The volume of a rectangular prism is given by:

$V=l\cdot w\cdot h$

where:

l is the length of the prism

w is the width of the prism

h is the height prism

In this problem,

$l=24 cm$ (length)

$w=9 cm$ (width)

$h = 17 cm$ (height)

Therefore, the volume of the prism is:

$V=24\cdot 9 \cdot 17 = 3672 cm^3$

You might be interested in

The CFO of the company believes that an appropriate annual interest rate on this investment is 4%. What is the present value of

hodyreva [135]

Find attached the missing cash flow stream

Answer:

Present value = $1,685,334 (rounded to the nearest whole)

Explanation:

Since the cash flow stream is uneven, you must discount each stream individually and after you have discounted every stream you can add each preset value to find the net present value.

The formula for present value is:

$\text{Present Value} = \dfrac{\text{Future Value}}{(1+r)^n}\\\\\ Where:\\ \\ r = \text{Rate of return=interest rate}\\ \\ n = \text{Number of periods}$

1. Year 1:

Future value = $250,000
r = 4%
n = 1

$Present\text{ }value=\$250,000/(1+0.04)^1=\$240,384.62$

2. Year 2:

Future value = $20,000
r = 4%
n = 2

$Present\text{ }value=\$20,000/(1+0.04)^2=\$18,491.12$

3. Year 3:

Future value = $330,000
r = 4%
n = 3

$Present\text{ }value=\$330,000/(1+0.04)^3=\$293,368.80$

4. Year 4:

Future value = $450,000
r = 4%
n = 4

$Present\text{ }value=\$450,000/(1+0.04)^4=\$384,661.89$

5. Year 5:

Future value = $550,000
r = 4%
n = 5

$Present\text{ }value=\$550,000/(1+0.04)^5=\$452,059.91$

6. Year 6:

Future value = $375,000
r = 4%
n = 6

$Present\text{ }value=\$375,000/(1+0.04)^6=\$296,367.95$

Total present value = $240,384.62 + $18,491.12 + $293,368.80 + $384,661.89 + $452,059.91 + $296,367.95 + $ 296,367.95

Total present value = $1,685,334.29 = $ 1,685,334

6 0

3 years ago

What is the positive difference between 8 and 9

spayn [35]

Answer:

8-9=-1

just absoulte value. |-1| = 1

Step-by-step explanation:

5 0

2 years ago

F(2)= Please help I don’t got time ;-;

choli [55]

Answer:

Step-by-step explanation:

7 0

2 years ago

..................................................

nlexa [21]

Answer:

divide

Step-by-step explanation:

divide the first one by the second that might help

5 0

3 years ago

The focus of a parabola is (0, -3) and the directrix is y = 3. What is the equation of the parabola?

mart [117]

Focus has coordinates (0, a)
a = -3
Thus, 4a = 4(-3) = -12

Because a is negative, we know it will be a concave down or concave left parabola. Hence, A and D can be eliminated. And we know it has to be B because the directrix is the horizontal line y = 3. Hence, the equation of the parabola becomes:

$x^{2} = -12y$ or $y = -\frac{1}{12}x^{2}$

5 0

3 years ago