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2 years ago

Find the volume of this composite figure and explain how you got your answer

Mathematics

1 answer:

Damm [24]2 years ago

7 0

To solve this, we work out the volume of the two shapes (the cuboid and the pyramid) and then add them together.

We get the volume of the cuboid by multiplying the base by the width by the length:

Volume of cuboid = 6 x 6 x 4
= 144m³

Now to get the volume of the pyramid, we multiply the base by the length by the height, and then we divide by three.

Volume of pyramid = 6 x 6 x 8 ÷ 3
= 96m³
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Answer:
Now that we know the two volumes, we simply add them together:

144 + 96 = 240m³

So the volume of the composite sold is 240m³

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Over the past seven days, Mrs. Cho found that the temperature outside had dropped a total of 35

s344n2d4d5 [400]

Answer:

Average change in temperature each day = 5 degrees/day

Step-by-step explanation:

$\frac{35}{7} = 5$

8 0

2 years ago

It was recently estimated that females outnumber males by about three or two. If there are 1770 people in a county, how many of

max2010maxim [7]

GIVEN

1) Females outnumber males by 3 to 2.

2) There are 1770 people in the city.

SOLUTION

Let the number of males be x and the number of females y. Therefore, the total number of people can be written to be:

$x+y=1770\text{ -----------(1)}$

If there are 3 females for every 2 males, we have that:

$\begin{gathered} \frac{y}{3}=\frac{x}{2} \\ \therefore \\ x=\frac{2y}{3}\text{ ----------(2)} \end{gathered}$

We can substitute equation (2) into equation (1) and solve for y:

$\begin{gathered} \frac{2}{3}y+y=1770 \\ \frac{2y+3y}{3}=1770 \\ 5y=1770\times3 \\ 5y=5310 \end{gathered}$

Dividing both sides by 5, we have

$y=1062$

There are 1062 females in the county.

3 0

1 year ago

Solve the equation algebraically x^2=192

lapo4ka [179]

The square root of 192 is 13.856. so the answer is more than likely 14 or 13.85

4 0

3 years ago

Read 2 more answers

A rePrism measures 6.7 cm by 3.2 cm by 9 cm what is the volume of the rectangle prism

Blizzard [7]

Answer:

The volume is 192.96

Step-by-step explanation:

You multiply length x width x height to find the volume.

6 0

3 years ago

Which of these ordered pairs is a solution to the linear inequality 3y - 2x > 8?

Tanzania [10]

For this case we have the following inequality:
3y - 2x> 8
The first thing we should do is to graph the function.
Then, see the set of points that are the solution of the inequality.
The solution set is given by the shaded region.
See attached image.
Answer:
Shaded region.
See attached image.

3 0

3 years ago