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Hello!
The formula to find the surface area of a pyramid is as follows:
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 pl + B and with the values we just found plugged in it becomes (10)(3) + (6.25).
And now all we have to do is solve!
(10)(3) + (6.25)
(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!
The formula to find the surface area of a pyramid is as follows:
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
And now all we have to do is solve!
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!