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Flauer [41]
3 years ago
13

The cross-sectional areas of a right triangular prism and a right cylinder are congruent. The right triangular prism has a heigh

t of 2 units, and the right cylinder has a height of 6 units. Which conclusion can be made from the given information?
A.) The volume of the triangular prism is half the volume of the cylinder. B.)The volume of the triangular prism is not equal to the volume of the cylinder.
C.)The volume of the triangular prism is twice the volume of the cylinder.
D.) The volume of the triangular prism is equal to the volume of the cylinder.
Mathematics
1 answer:
Lina20 [59]3 years ago
5 0

Answer:

B.)The volume of the triangular prism is not equal to the volume of the cylinder.

Step-by-step explanation:

Let A be the cross-sectional area of both congruent right triangular prism and right cylinder.

Since the prism has height 2 units, its volume V₁ = 2A.

Since the cylinder has height 6 units, its volume is V₂ = 6A

Dividing V₁/V₂ = 2A/6A =1/3

V₁ = V₂/3.

The volume of the prism is one-third the volume of the cylinder.

So, since the volume of the prism is neither double nor half of the volume of the cylinder nor is it equal to the volume of the cylinder, B is the correct answer.

So, the volume of the triangular prism is not equal to the volume of the cylinder.

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The length of a rectangle is 3 1/6 cm longer than the width. The perimeter of the rectangle is 15 1/3 cm. What are the width and
Delicious77 [7]

The width of rectangle is 2\frac{1}{4}\ cm and length is 5\frac{5}{12}\ cm

Step-by-step explanation:

Let,

Width of rectangle = w

Length of rectangle = w+3\frac{1}{6}=w+\frac{19}{6}

Perimeter of rectangle = 15\frac{1}{3}=\frac{46}{3}\ cm

Perimeter of rectangle = 2(Length + Width)

2(w+\frac{19}{6}+w)=\frac{46}{3}\\2(2w+\frac{19}{6})=\frac{46}{3}\\4w+\frac{19}{3}=\frac{46}{3}

Subtracting \frac{19}{3} from both sides

4w+\frac{19}{3}-\frac{19}{3}=\frac{46}{3}-\frac{19}{3}\\4w=\frac{46-19}{3}\\4w=\frac{27}{3}\\4w=9

Dividing both sides by 4

\frac{4w}{4}=\frac{9}{4}\\w=\frac{9}{4}

Therefore,

Width of rectangle = w = \frac{9}{4}=2\frac{1}{4} cm

Length of rectangle = w+\frac{19}{6}=\frac{9}{4}+\frac{19}{6}=\frac{27+38}{12}=\frac{65}{12}=5\frac{5}{12}\ cm

The width of rectangle is 2\frac{1}{4}\ cm and length is 5\frac{5}{12}\ cm

Keywords: perimeter, addition

Learn more about addition at:

  • brainly.com/question/6270221
  • brainly.com/question/6275033

#LearnwithBrainly

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Step-by-step explanation:

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Step-by-step explanation:

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