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3 years ago

What is the volume of a rectangular prism thatis 3cm by 6 cm by 5 cm?

Mathematics

2 answers:

Valentin [98]3 years ago

7 0

Answer:

Step-by-step explanation:

8 x 3 =24

24 x 1 = 24

Grace [21]3 years ago

5 0

Answer:

Step-by-step explanation:

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Michael has a sink that is shaped like a half-sphere. The sink has a volume of 3000 3 in3. One day, his sink is clogged. He has

jarptica [38.1K]

Answer:

Part a) $42\ cups$

Part b) $15\ cups$

Step-by-step explanation:we know that

The volume of the sink (half sphere) is equal to

$V=3,000\pi \ in^{3}$

Part a) One cup has a diameter of 6 in. and a height of 8 in. How many cups of water must Michael scoop out of the sink with this cup to empty it?

The volume of the cylinder is equal to

$V=\pi r^{2}h$

we have

$r=6/2=3\ in$ ----> the radius is half the diameter

$h=8\ in$

substitute the values

$V=\pi (3)^{2}(8)=72\pi\ in^{3}$

To find the number of cups divide the total volume of the sink by the volume of the cylinder

$\frac{3,000\pi}{72\pi} =41.67\ cups$

Round to the nearest whole number

$41.67=42\ cups$

Part b) One cup has a diameter of 10 in. and a height of 8 in. How many cups of water must Michael scoop out of the sink with this cup to empty it?

The volume of the cylinder is equal to

$V=\pi r^{2}h$

we have

$r=10/2=5\ in$ ----> the radius is half the diameter

$h=8\ in$

substitute the values

$V=\pi (5)^{2}(8)=200\pi\ in^{3}$

To find the number of cups divide the total volume of the sink by the volume of the cylinder

$\frac{3,000\pi}{200\pi} =15\ cups$

4 0

2 years ago

to rent a certain meeting room, a college charges a reservation fee of $47 and an additional fee of $9.60 per hour the chemistry

Ratling [72]

Let's set up an inequality. t will equal the amount of hours.

123.80 [greater than or equal to] 47 + 9.60t

After isolating t, your answer is t less than or equal to 8. So they can rent the meeting room for at most 8 hours.

7 0

2 years ago

How many volleyball games would Rana

Fed [463]

Answer:

90 games

Step-by-step explanation:

Given: Total number of team (n) = 10

Each team will play twice with each other.

We know that every team will play two game with each other except with itself, therefore each team will play $(n-1)\times 2$

⇒ Each team will play = $(10-1)\times 2 = 18\ games$

∴ Each team will have 18 games with each other in the league.

Now, as there are total 10 teams and each team have 18 games each, however, we have to make sure that no team have more than two games with other team.

Example: $team_1 vs\ team_2\\\\team_2\ vs\ team_1\\$