MATHEMATICS MIDDLE SCHOOL

This right square pyramid has a base length of 4 inches and a slant height of 7 inches what is the surface area of this pyramid?

Answers

Answer 1

Answer:

Hence Surface are of pyramid is $74.24 inches^(2)$

What is a square pyramid?

A pyramid with base as square is said square pyramid

How to calculate Surface area?

Formula to calculate surface area= $A=a^(2) +2a\sqrt{(a^(2) )/(4) +h^(2) }$

where a =4 ,h=7

= $4^(2) +2(4)\sqrt{(4^(2) )/(4)+7^(2) }$

= 16+ $8$ $\sqrt{(4)/(1 ) +49$

=16+8*7.28

=16+58.24

= $74.24 inches^(2)$

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Answer 2

Answer:

Final answer:

The surface area of the right square pyramid is calculated by adding the area of the square base (16 square inches) and the combined area of the triangular faces (56 square inches). Hence, the total surface area of the pyramid is 72 square inches.

Explanation:

To calculate the surface area of a square pyramid, you need to calculate the area of the base and the area of the four triangular sides. Firstly, the area of the square base is found using the formula A = s², where s is the side length. In this case, the base area (A) would be 4² = 16 square inches.

Secondly, to find the area of a single triangular face you use the formula A = 0.5*base*height, in this case, the base is the same as the square base and the height corresponds to the slant height (7 inches). Thus, the area for one triangle would be 0.5*4*7 = 14 square inches. As the pyramid has four equal triangular faces, to find the total area of these faces you would multiply 14 by 4 giving 56 square inches.

Finally, to find the total surface area of the pyramid, you add the base area and the area of the triangular faces together, which results in 16 + 56 = 72 square inches.

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Related Questions

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Wayne is going to paint the side of the house shown in the diagram. What is the area that will be painted? Please explain how u found your answer

Answers

First find the area of the rectangle by multiplying the length and width of the rectangle, so 12 x25=300. Then find the area of the triangle, which is length x height/ 2. So 8 x 25=200/2=100. Then add the two answers together to get 400.

What is the answer to -x = 12

Answers

the value of x is x=1/12'

HOPE IT HELPS U.

the answer is x = -12

At a shelter, 15% of dogs are puppies. There are 60 dogs at the shelter.How many are puppies?

Answers

It is important to look at allthe information’s already given in the question. Those information’s will comein handy while solving the question.
Number of dogs in the shelter = 60
Percentage of puppies in the shelter = 15%
Then
Number of puppies in the shelter = (15/100) * 60
= 900/100
= 9
So there are a total of 9 puppies in the shelter.I hope the procedure is clearenough for you to understand. I am glad to have helped you.

60* (15/100)= 9.

There are 9 puppies in the shelter~

A cold water pipe can fill a swimming pool in 4 hours, and a hot water pipe in 6 hours. If cold water pipe is turned on and hot water pipe is turned on 3 hours later then how long will it take them to fill the pool together?

Answers

If cold water pipe is turned on and hot water pipe is turned on 3 hours later then it will take 36 minutes (or 0.6 hr) to them to fill the pool together.

Step-by-step explanation:

Given :

Cold water pipe can fill a swimming pool in 4 hours, and a hot water pipe in 6 hours.

Solution :

Let's say the swimming pool is x gallons.

The flow rate of the cold water pipe is,

$\rm (x)/(4)\;gal/hr$

The flow rate of the hot water pipe is,

$\rm (x)/(6)\;gal/hr$

If the cold water pipe is turned on for three hours, the volume of water is:

$\rm (x)/(4) gal/hr* 3 hr = (3x)/(4) \;gal$

The time to fill the rest of the pool with both the cold and hot water pipes is,

$\rm ((x)/(4))/((x)/(4)+(x)/(6))= (1)/(4)* (24)/(10)\;hr$

= 0.6 hr

If cold water pipe is turned on and hot water pipe is turned on 3 hours later then it will take 36 minutes (or 0.6 hr) to them to fill the pool together.

For more information, refer the link given below

brainly.com/question/7359669?referrer=searchResults

Answer:

0.6 hours

Step-by-step explanation:

Let's say the swimming pool is 12,000 gallons.

The flow rate of the cold water pipe is:

12000 gal / 4 hr = 3000 gal/hr

The flow rate of the hot water pipe is:

12000 gal / 6 hr = 2000 gal/hr

If the cold water pipe is turned on for three hours, the volume of water is:

3000 gal/hr × 3 hr = 9000 gal

That leaves 3000 gallons. The time to fill the rest of the pool with both the cold and hot water pipes is:

3000 gal / (3000 gal/hr + 2000 gal/hr) = 0.6 hr

It takes 0.6 hours (36 minutes).

What is the value of the function at x = 2?

Enter your answer in the box.

Answers

Answer:

y = - 3

Step-by-step explanation:

Locate x = 2 on the x- axis, then go down vertically until the line is met.

Then read the corresponding y- coordinate at this point.

When x = 2 the value of the function is y = - 3

Answer:

-3

Step-by-step explanation:

We are given that a graph.

We have to find the value of the function at x=2.

To find the value of function at x=2 we will find the value of y corresponding to x=2 by drawing a vertical line x=2

The given graph is the graph of a line.

We can see that when we draw a vertical line x=2 and parallel to y- axis.

Then, the vertical line x=2 cut the given line at pint (2,-3).

Therefore, the intersection point of line x=2 and the given line is (2,-3).

The value of y corresponding to x=2 is -3.

We know that $y=f(x)$

$f(2)=-3$

Therefore, the value of the given function at x=2 is -3.

Hence, the value of the function at x=2 is -3.

What is the distributive property for 9−12x+6y=

Answers

I believe it’s 3 I’m not sure though

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