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2 years ago

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

Mathematics

2 answers:

kaheart [24]2 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]2 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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Total brain fart! 24+5x=-x+6(5a-4)

kow [346]

Answer:

When solving for x, answer = $\large\boxed{x = 5a - 8}$

When solving for a, answer = $\large\boxed{a = 1/5x + 8/5}$

Step-by-step explanation:

24 + 5x = -x + 6(5a - 4)

Start by multiplying 6 by the values in the parenthesis

24 + 5x = -x + 30a - 24

Add 24 to both sides of the equation

48 + 5x = -x + 30a

Add 1x to both sides of the equation

48 + 6x = 30a

Subtract 48 from both sides of the equation

6x = 30a - 48

Divide both sides of the equation by 6

x = 5a - 8 (Answer when solving for x)

Add 8 to both sides of the equation

x + 8 = 5a

Divide both sides of the equation by 5

a = 1/5x + 8/5 (Answer when solving for a)

-----------------------------------------

When solving for x, answer = $\large\boxed{x = 5a - 8}$

When solving for a, answer = $\large\boxed{a = 1/5x + 8/5}$

Hope this helps :)

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2 years ago

Is -0.142857142857142857 rational or irrational

sesenic [268]

Answer: Irrational because cannot be turned into fractions

Step-by-step explanation:

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3 years ago

Consider a home mortgage of $225,000 at a fixed APR of 4.5 % for 30 years. a. Calculate the monthly payment. b. Determine the

White raven [17]

The formula for the monthly payment.....

$M= \frac{P(1+r)^nr}{[(1+r)^n] -1}$ , where P = the principal amount, r = the monthly interest rate and n = the total number of months.

Here annual interest rate is given as 4.5%

So, the monthly interest rate $=\frac{4.5\%}{12}= 0.375\% = 0.00375$

Total number of months $= (30*12)months=360 months$

Also given that, the principal amount is $225000

a. So, the monthly payment will be.....

$M= \frac{P(1+r)^nr}{[(1+r)^n] -1}\\ \\ M= \frac{225000(1+0.00375)^3^6^0*0.00375}{(1+0.00375)^3^6^0 -1}\\ \\ M= \frac{225000(1.00375)^3^6^0*0.00375}{(1.00375)^3^6^0 -1} \\ \\ M \approx 1140$