PLEASE I WILL GIVE BRAINLYEST What is the lateral surface area of the square pyramid represented by this net?

Mathematics

1 answer:

Nastasia [14]3 years ago

4 0

Answer:

108ft²

Step-by-step explanation:

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a box with a square base is taller than it is wide. in order to send the box through the US mail, the height of the box and the

NemiM [27]

The given box has the shape of a cuboid, since its height is greater than its width. Thus, the maximum volume for such box is 11200 $in^{3}$ .

The volume of an object is a measure of it containing capacity. Since the given box has a taller height than its width, then it has the shape of a cuboid. The volume of a cuboid is given as:

volume = length x width x height

= area x height

Given that the sum of the perimeter of its base and its height is not more than 108 inches, we can say; let the sides of the square base be represented by l and its height by h.

Then;

4l + h = 108

Therefore, maximum volume for the box can be attained when l = 20 inches and h = 28 inches.

So that;

4(20) + 28 = 80 + 28

= 108 inches

Thus;

maximum volume = area of the square base x height

= 400 x 28

maximum volume = 11200 $in^{3}$

The maximum volume for such a box would be 11200 $in^{3}$ .

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