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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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The length and width of a rectangle are measured as 55 cm and 49 cm, respectively, with an error in measurement of at most 0.1 c

valentina_108 [34]

Answer:

The maximum error in the calculated area of the rectangle is $10.4 \:cm^2$

Step-by-step explanation:

The area of a rectangle with length $L$ and width $W$ is $A= L\cdot W$ so the differential of <em>A</em> is

$dA=\frac{\partial A}{\partial L} \Delta L+\frac{\partial A}{\partial W} \Delta W$

$\frac{\partial A}{\partial L} = W\\\frac{\partial A}{\partial W}=L$ so

$dA=W\Delta L+L \Delta W$

We know that each error is at most 0.1 cm, we have $|\Delta L|\leq 0.1$ , $|\Delta W|\leq 0.1$ . To find the maximum error in the calculated area of the rectangle we take $\Delta L = 0.1$ , $\Delta W = 0.1$ and $L=55$ , $W=49$ . This gives

$dA=49\cdot 0.1+55 \cdot 0.1$

$dA=10.4$

Thus the maximum error in the calculated area of the rectangle is $10.4 \:cm^2$

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3 years ago

PLEASE HELP ME!! LOTS OF POINTS!!

marta [7]

54 i think im not to sure XD

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3 years ago

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Brainliest if correct

marysya [2.9K]

Answer:

w=4

Step-by-step explanation:

28=14w-7w whenever you work it out it equals w=4... happy to help :)

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2 years ago

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Which of the following have eight faces

Kazeer [188]

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2 years ago

Se sabe que el 20% de todas las personas a quienes se administra cierto medicamento se siente muy mal en 2 minutos; encuentra la

Softa [21]

Answer:

a) 0.4481

b) 0.1298

c) 0.6722

Step-by-step explanation:

English Translation

It is known that 20% of all people given a certain medicine feel very bad in 2 minutes; Find the probability that among 14 people who are given this medicine:

a) At most 2 feel very bad in two minutes

b) At least 5 feel very bad in two minutes

c) From 2 to 4 they feel very bad in two minutes

Solution

This is a binomial distribution problem

A binomial experiment is one in which the probability of success doesn't change with every run or number of trials.

It usually consists of a number of runs/trials with only two possible outcomes, a success or a failure.

The outcome of each trial/run of a binomial experiment is independent of one another.

Binomial distribution function is represented by

P(X = x) = ⁿCₓ pˣ qⁿ⁻ˣ

n = total number of sample spaces = 14

x = Number of successes required

p = probability of success = probability of feeling bad after taking the medicine = 20% = 0.20

q = probability of failure = probability of NOT feeling bad after taking the medicine = 1 - 0.20 = 0.80

a) At most 2 feel very bad in two minutes

P(X ≤ 2) = P(X=0) + P(X=1) + P(X=2)

= 0.04398046511 + 0.15393162789 + 0.25013889532 = 0.44805098832 = 0.4481

b) At least 5 feel very bad in two minutes

P(X ≥ 5) = 1 - P(X < 5) = 1 - [P(X=0) + P(X=1) + P(X=2) + P(X=3) + P(X=4)]

= 1 - [0.04398046511 + 0.15393162789 + 0.25013889532 + 0.25013889532 + 0.17197049053] = 0.12983962583 = 0.1298

c) From 2 to 4 they feel very bad in two minutes

P(2 ≤ X ≤ 4) = P(X=2) + P(X=3) + P(X=4)

= 0.25013889532 + 0.25013889532 + 0.17197049053 = 0.6722482811 = 0.6722

Hope this Helps!!!

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4 years ago