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4 years ago

The solid was created by connecting two congruent square pyramids to a rectangular prism.

Mathematics

2 answers:

Pani-rosa [81]4 years ago

6 0

Answer:

Step-by-step explanation:

1920

hope this helps! :3

AnnyKZ [126]4 years ago

3 0

Answer:

1920 square inches

Step-by-step explanation:

For a rectangular prism, the lateral area can be found by ...

LA = Pl

where P is the perimeter, and l is the length.

For a square pyramid, the lateral area can be found by ...

LA = (1/2)Ph

where P is the perimeter of the base, and h is the slant height of the triangular faces.

For a figure with a square cross section of perimeter P "capped" by square pyramids on either end, the total surface area is the sum of the lateral areas of the three components:

SA = (Pl) + (1/2)Ph + (1/2)Ph

SA = P(l+h) = (4×15 in)(14 +18 in) = (60)(32) in²

SA = 1920 in²

The surface area of the solid seems to be 1920 square inches.

<em>Caveat</em>

If the figure is something other than what we have tried to describe, your mileage may vary. A diagram would be helpful.

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3 years ago

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