MATHEMATICS HIGH SCHOOL

A right rectangular prism has base dimensions of 3 inches by 12 inches. An oblique rectangular prism has base dimensions of 4 inches by 9 inches.If the prisms are the same height, how do their volumes compare?

The volumes are equal, because the bases are congruent.
The volumes are equal, because the heights are equal and the horizontal cross-sectional areas at every level are also equal.
The volumes are not equal, because their horizontal cross-sectional areas are not the same at every level.

Answers

Answer 1
Answer:

Answer:

The correct option is 2.

Step-by-step explanation:

Given information: Height of both prism are same.

Right rectangular prism has base dimensions of 3 inches by 12 inches.

Volume of a right rectangular prism:

V=Bh

where, B is base area and h is height of the prism.

The volume of right rectangular prism is

V=(3* 12)* h=36h

Therefore the volume of right rectangular prism is 36h cubic inches.

An oblique rectangular prism has base dimensions of 4 inches by 9 inches.

Volume of a oblique rectangular prism:

V=Bh

where, B is base area and h is height of the prism.

The volume of right rectangular prism is

V=(4* 9)* h=36h

Therefore the volume of oblique rectangular prism is 36h cubic inches.

The volumes are equal, because the heights are equal and the horizontal cross-sectional areas at every level are also equal.

Option 2 is correct .
Answer 2
Answer:

The volumes are equal, because the heights are equal and the horizontal cross-sectional areas at every level are also equal.

How to find the volume of the prism?

The formula for the Volume of a right rectangular prism is:

V = B * h

where,

B is base area.

h is height of the prism.

Thus:

V = 3 * 12 * h

V = 36h

Similarly, the volume of the oblique rectangle is:

V = Bh

V = 4 * 9 * h

V = 36h

Thus, we can see that the volumes are equal, because the heights are equal and the horizontal cross-sectional areas at every level are also equal.

Read more about Volume of Prism at: brainly.com/question/23766958

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If someone has been binge drinking, which symptom is a sign to call 911?breathing fewer than 10 times per minute
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incoherent or slurred speech
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Answers

Binge drinking is a dangerous way to consume liquids. This is consuming large doses of liquids at a single time and can be dangerous in terms of suffocation. The answer to this problem thus is A. breathing fewer than 10 times per minute

Answer:

Clammy, pale, bluish skin

Step-by-step explanation:

Just took the test, hope this helps!

A laptop computer is priced at $650. If the sales tax is 5%, find the total cost of the computer, including sales tax.

Answers

price + tax

650 + 5/100 x 650

650 + 32,5

= $682,5
100\%+5\%=105\%\n\n \$650-100\%\n \$x=105\%\n \n 650 \cdot 105=100x\n 68250=100x\ /:100\n x=\$682,5\n \n Answer:Total\ cost\ of\ the\ computer\ is\ \$682,5.

What is the growth factor associated with the following growth rate: 30% decrease Your answer should be typed as a decimal.

Answers

Final answer:

The growth factor associated with a 30% decrease is -0.3.

Explanation:

The growth factor associated with a 30% decrease can be calculated by subtracting the growth rate percentage from 100% and converting it into a decimal. Since a decrease is a negative growth, the growth factor would be -0.3.

Learn more about growth factor here:

brainly.com/question/12052909

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blank +blank =8 blank=4 rewrite the equation by replacing the variable with the correct number

Answers

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Since blank = 4, you replace the word blank with 4.

4 + 4 = 8

What is the factor of 16^2-81

Answers

this is the diffiarence of two perfect squares. this should be memorised, but if not here it is

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In a circle with a radius of 26.9 m, an arc is intercepted by a central angle of 9π/5 radians.What is the arc length?
Use 3.14 for π
and round your final answer to the nearest hundredth.
Make sure to show your calculations.

Answers

Answer:

152.04 For anybody that still needs the answer.

Step-by-step explanation:
360 degrees = 2 PI radians
Central angle = 1.8 PI radians

Central angle (degrees) = (1.8 / 2) * 360 = 324 degrees

circle circumference = 26.9 * 2 * PI =169.0176847631
arc length = (324 / 360) * 169.0176847631
arc length = .9 * 169.0176847631
arc length = 152.1159162868 m
 
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