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tekilochka [14]
3 years ago
5

An oblique hexagonal prism has a base area of 42 square cm. the prism is 4 cm tall and has an edge length of 5 cm.what is the vo

lume of the prism?
Mathematics
2 answers:
Ilia_Sergeevich [38]3 years ago
5 0
The volume of the prism will be given by:
Volume=(base area)*(height)
base area=42 cm^2
height=4 cm
thus
Volume=42*4=168 cm^3
Alekssandra [29.7K]3 years ago
3 0

Answer:

168\text{ cm}^{3}

Step-by-step explanation:    

Since we know that volume of a prism can be found by multiplying the base area of prism by height of prism.

\text{Volume of prism}=\text{Base area}\times \text{Height of the prism}

Since our prism is an oblique hexagonal prism so our height will be 4 cm and 5 cm will be lateral side.

Now let us substitute our given values in volume formula of the prism.

\text{Volume of oblique hexagonal prism}=42\text{ cm}^{2}\times 4\text{ cm}

\text{Volume of oblique hexagonal prism}=168\text{ cm}^{3}

Therefore, the volume of our given oblique hexagonal prism will be 168 cubic centimeters.

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A farmer’s rectangular pen has an area of 2,700 square feet, and the width is 15 feet shorter than the length. Find the dimensio
svetoff [14.1K]

The length of the rectangle is 60 feet and the width of the rectangle is 45 feet.

<h3>What is the area of the rectangle?</h3>

Let L be the length and W be the width of the rectangle.

Then the area of the rectangle will be

Area of the rectangle = L×W square units

A farmer’s rectangular pen has an area of 2,700 square feet, and the width is 15 feet shorter than the length.

L = W + 15

Then we have

2700 = W(W + 15)

W² + 15W - 2700 = 0

W² + 60W - 45W - 2700 = 0

(W + 60)(W - 45) = 0

W = 45, -60

Then the dimension of the rectangle will be

W = 45 feet

L = W + 15

L = 45 + 15

L = 60 feet

More about the area of the rectangle link is given below.

brainly.com/question/20693059

#SPJ1

4 0
2 years ago
If xt = 3y -1 and us = 28, find the value of y
olga55 [171]
3y - 1 = 28
+ 1 + 1
----------------
3y = 29
---- ----
3 3
y= 9.66
8 0
3 years ago
How do I solve for the blank
OLga [1]
Look at the problem and do it in order
3 0
3 years ago
A toy manufacturer uses 1,000 plastic wheels to make 250 toy trucks. If they use 3,584 plastic wheels in an 8 hour shift, how ma
Bad White [126]

Answer:

112 trucks

Step-by-step explanation:

so you take ratio:

1000-250

3584-x

x=896

and after you divide 896 by 8 hours and get 112

hope it helped you

8 0
3 years ago
Ken normally leaves work at 5:00 pm, but he is leaving 20 minutes late today. He decides to make up time by taking the toll road
kobusy [5.1K]

Answer:

The correct answer is: y=\frac{1}{3} x + 20

Step-by-step explanation:

As stated in the question that x represents the number of minutes his <em>normal</em> commute takes. Here the keyword is normal; in the <em>normal</em> commute, Ken takes side streets instead of the toll road.

However, in this scenario, we have to come up with the equation that takes Ken's commute via <em>toll road</em>.

Ken can travel 3 times faster by taking the toll road (Given), which can be represented in the mathematical terms in terms of x as follows:

x_{toll\_road}=\frac{1}{3}x

<em>Without considering Ken getting late, </em>the equation would become the following:

y=\frac{1}{3} x --- (A)

<em>As Ken is leaving late</em>, we have to incorporate that time as well by <em>adding</em> it in the aforementioned equation (A).

In this case, it's 20 minutes; therefore, the equation (A) will become:

y=\frac{1}{3} x+20

Hence, the correct answer is y=\frac{1}{3} x + 20.

4 0
3 years ago
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