100 inches is greater than or less than or equal to 3 yard and 1ft

1 answer:

5 0

Ok so first, I am going to make an equation like this one:
100_ 3 yard and 1 ft
so I need to find out what goes into the blank so I know that there are 12 inches in 1 ft so my 1 ft is equal to 12 inches.
I also know that there are 3 ft in 1 yard so I am going to multiply 3 × 3 = 9 So know i know that there are 9 ft but now, I am going to add my 1 ft so there will be 10 ft in total. So I am now going to multiply 12 in × 10 ft To get my answer and 12 in × 10 ft = 120 inches.

So now I am going to do this:
100 inches < 120 inches ( or 3 yards and 1 ft)

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What is the lateral and surface area? I will give the brainliest if you answer correctly and no links or you will be reported

jeyben [28]

Answer:

Lateral: 560

Surface Area: $560 + 96\sqrt{3}$

Step-by-step explanation:

Well, we know that the lateral area is just the surface area subtracted by the hexagon base of the figure. Thus, if we (1) find the area of one of the triangular faces and multiply by 6, we get the lateral area. And then, if we (2) add the area of the hexagonal base, we get the surface area.

Let's do (1) first to get the lateral area

They mention that the base of one of the triangular faces is 8 and its height (which is the slant height) is 20. So the area is simply 20 * 8/2 = 80

Then, we multiply by 6 because there are 6 of these triangles and get 560

So the lateral area is 560

Let's do (2) next to find the surface area

If we add the area of the hexagonal base to 560, we obtain the surface area

The hexagon is a regular hexagon with a length of 8. Now, the area of a hexagon $3\sqrt{3} * s^2 /2$ where $s$ is the side. We can obtain this formula if we separate the hexagon into 6 equilateral triangles.