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3 years ago

What is the volume of the prism?

Mathematics

2 answers:

miskamm [114]3 years ago

8 0

Answer: V=1332 in. cubed

Step-by-step explanation:

V=Bh

V=3996*1/3

V=1332 in.cubed

SOVA2 [1]3 years ago

6 0

Answer:

148 in³

Step-by-step explanation:

The equation for the volume of a cube is $V = a^{3}$

Here, $a = \frac{1}{3}$ .

$V=\frac{1}{3} ^{3}$

$V = \frac{1}{27}$

So, the volume of each cube is $\frac{1}{27}$ in.

The prism is filled completely with 3996 of these cubes.

$3996*\frac{1}{27} = 148$

The volume of the prism is 148 in³.

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Please help. I don’t understand what to do

11111nata11111 [884]

$\bf \textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=23.9\\ h=100 \end{cases}\implies V=\cfrac{\pi (23.9)^2(100)}{3} \\\\\\ V=\cfrac{57121\pi }{3}\implies V\approx 59816.97\implies \stackrel{\textit{rounded up}}{V=59817} \\\\[-0.35em] ~\dotfill$

now, for the second one, we know the diameter is 10, thus its radius is half that or 5.

$\bf \textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=5\\ V=225 \end{cases}\implies 225=\cfrac{\pi (5)^2 h}{3}\implies 225=\cfrac{25\pi h}{3} \\\\\\ \cfrac{225}{25\pi }=\cfrac{h}{3}\implies \cfrac{9}{\pi }=\cfrac{h}{3}\implies \cfrac{27}{\pi }=h\implies 8.59\approx h\implies \stackrel{\textit{rounded up}}{8.6=h}$

6 0

4 years ago

How do write 412.638 using expanded form using decimals

Radda [10]

412.638 using expanded form using decimals is :
4 x 100 + 1 x 10 + 2 x 1 + 6 x 0.1 + 3 x 0.01 + 8 x 0.001 Hope this helped you!

7 0

3 years ago

13 Solve the inequality n+7<5n-8<br>

Papessa [141]

Answer:

3.75 < n

Step-by-step explanation:

n + 7 < 5n - 8

Add 8 to both sides

n + 7 + 8 < 5n

n + 15 < 5n

Subtract 'n' from both sides

15 < 5n - n

15 < 4n

Divide both sides by 4

$\frac{15}{4}$ < n

3.75 < n

3 0

3 years ago

The trajectory of a flying saucer is given by the vector function r(t) = (5 sin(t))i + (5 cos(t))j + 12tk for t ≥ 0 where coordi

Kipish [7]

Answer:

t0 = 2

Step-by-step explanation:

r' = <5cost,-5sint,12>

ds = $\sqrt{25cos^{2}t+25sin^{2}t+12^2} = \sqrt{25+144} = 13$ dt

So, we want

$\int\limits^x_0 {13} \, dt = 26$

8 0

3 years ago

Profit is the amount of money that remains after all expenses of a project have been paid. The year has just ended, and Ajax C

lilavasa [31]

Answer:

the Profit earned by the company is $280,489

Step-by-step explanation:

Total Cost of 5 projects awarded = $7,435,000

Cost of Project 1 = $1,245,000

Cost of Project 2 = $985,689

Cost of Project 3 = $1,723,000

Cost of Project 4 = $2,567,054

Cost of Project 5 = $633,768

We need to find the profit earned by the company.

First we need to find Total cost spent on all 5 projects.

It can be found by adding cost spent on all projects.

Total cost spent on all 5 projects = Cost of Project 1 + Cost of Project 2 + Cost of Project 3 + Cost of Project 4 + Cost of Project 5

Total cost spent on all 5 projects = $1,245,000+ $985,689 + $1,723,000+ $2,567,054 + $633,768

Total cost spent on all 5 projects = $7,154,511

Now we can calculate profit earned using formula:

Profit earned = Total Cost of 5 projects awarded - Total cost spent on all 5 projects

Profit earned = $7,435,000 - $7,154,511

Profit earned = $1,280,489

So, the Profit earned by the company is $280,489

6 0

3 years ago