Mathematics, 30.07.2019 04:00 audrilynn1679

Find the surface area of a pyramid with base sides of 2.5 inches and a slant height of 3 inches.

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Hello!

The formula to find the surface area of a pyramid is as follows:
$\frac{1}{2}$ pl + B

In this formula p represents the perimeter of the pyramid's base, l is the slant height, and B is the area of the base.

So, we know that the length of the base sides is 2.5 inches and the slant height (or l) is 3 inches.

The first thing we can do is solve for p or the perimeter of the base. To find the perimeter, you can either add up each of the sides or since it's a square just multiply the side length by 4; both of these options will give you the same answer.
2.5+2.5+2.5+2.5 = 10 2.5*4 = 10
So, we now know that p = 10 inches.

Next, we can solve for B or the area of the base. To do this, we take the length of the base * the width of the base, or in this case just 2.5*2.5; this gives us 6.25 inches
We now have the value of B which is 6.25 inches.

Now that we have all the elements, we can plug the values into the formula!

So, the formula originally is $\frac{1}{2}$ pl + B and with the values we just found plugged in it becomes $\frac{1}{2}$ (10)(3) + (6.25).

And now all we have to do is solve!
$\frac{1}{2}$ (10)(3) + (6.25)
$\frac{1}{2}$ (30) + (6.25).
15 + (6.25).
21.25

And there you have it! The surface area of a pyramid with base sides of 2.5 inches and a slant height of 3 inches is 21.25 inches.

Hope you find this helpful!

Answer from: Quest

answer: what

step-by-step explanation:

Answer from: Quest

he used the algebra tiles correctly.

step-by-step explanation:

given : 3x(2x-1)

solution :

since he used algebra tiles .

armando's solution is the same in the solution shown in figure

as he distributed 2x into x and x and wrote them vertically

and also write -1 vertically

and 3x into x and x and x and wrote it horizontally

performing the multiplication in the algebra tiles we get $6x^{2} -3x$

and solving the given expression :

3x(2x-1)

$6x^{2} -3x$

since solving the expression using tiles and solving the expression algebraically we get the same answer

thus we can choose the first statement as the answer to this problem which is "he used the algebra tiles correctly".

Which is true regarding armando’s use of algebra tiles? he used the algebra tiles correctly. he did

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