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3 years ago

What is the difference between a prism and a pyramid? How does finding their surface area differ?

Mathematics

2 answers:

kaheart [24]3 years ago

8 0

Answer:

A prism is a solid figure that has a two congruent bases and rectangular sides. For example, place a square on a table top. Then move the square 5 inches vertically above. The original square and the square in the new position are the bases of a prism. The edges of the prism are the segments that connect each vertex of the bottom base to the corresponding vertex of the upper base. The total number of faces of a prism (bases and sides) is always 2 more than the number of edges of the base polygon.

A pyramid has a single base in the shape of a polygon. Let's say you have a square on a table top. The top of the pyramid is a single point. Think of a point 5 inches above the center of the square. Connect each vertex of the square to the point above the square. That is a pyramid. The sides are triangles. The total number of faces of a pyramid is one more than the number of edges of the base polygon.

A prism has two bases and rectangular sides. If the bases of a prism are triangles, then it has 3 sides, so the total number of faces is 5. To find the surface area of a prism, find the area of a base and double it since the areas of the two bases are always equal. Then find the area of each side face, and add to the area of the bases.

A pyramid has one base and triangular sides. To find the surface area of a pyramid, find the area of the base and the areas of all the triangular sides and add them together.

goblinko [34]3 years ago

5 0

Answer:

The main difference between a prism and a pyramid is that a prism has two bases, while the pyramid only has one.

The surface area of a prism is equal to the sum of the area of its bases and the lateral area

The total surface area of a regular pyramid is the sum of the areas of its lateral faces and its base

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3 years ago

A professor wishes to discover if seniors skip more classes than freshmen. Suppose he knows that freshmen skip 2% of their class

KIM [24]

Answer:

We conclude that seniors skip more than 2% of their classes at 0.01 level of significance.

Step-by-step explanation:

We are given that a professor wishes to discover if seniors skip more classes than freshmen. Suppose he knows that freshmen skip 2% of their classes.

He randomly samples a group of seniors and out of 2521 classes, the group skipped 77.

Let p = percentage of seniors who skip their classes.

So, Null Hypothesis, $H_0$ : p $\leq$ 2% {means that seniors skip less than or equal to 2% of their classes}

Alternate Hypothesis, $H_A$ : p > 2% {means that seniors skip more than 2% of their classes}

The test statistics that will be used here is One-sample z proportion statistics;

T.S. = $\frac{\hat p-p}{{\sqrt{\frac{\hat p(1-\hat p)}{n} } } } }$ ~ N(0,1)

where, $\hat p$ = sample proportion of seniors who skipped their classes = $\frac{77}{2521}$

n = sample of classes = 2521

So, test statistics = $\frac{\frac{77}{2521} -0.02}{{\sqrt{\frac{\frac{77}{2521}(1-\frac{77}{2521})}{2521} } } } }$

= 3.08

The value of the test statistics is 3.08.

Now at 0.01 significance level, the z table gives critical value of 2.3263 for right-tailed test. Since our test statistics is more than the critical value of z as 2.3263 < 3.08, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that seniors skip more than 2% of their classes.

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3 years ago

You are given that <GHJ is a complement of <RST and <RST is a supplement of <ABC. Let m<GHJ be x°. What is the me

MAVERICK [17]

∠GHJ and ∠RST are complementary

⇒ ∠GHJ and ∠RST = 90°

And ∠RST and ∠ABC are supplementary

⇒ ∠RST and ∠ABC = 180°

Also, ∠GHJ = x°

⇒ ∠RST = 90° - x°

⇒ ∠ABC = 180° - ∠RST

⇒ ∠ABC = 180° - (90° - x°)

⇒ ∠ABC = 90° + x°

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3 years ago

If it is 8:50 a.m., what will the time be 4 hours and 20 minutes later?

Stels [109]

Answer:

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60 minutes in an hour, so

8:50am + 4 hours = 12:50pm

12:50pm + 20 minutes = 1:10pm

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