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Reika [66]
3 years ago
12

Find the total surface area in square inches, of the following 3-

Mathematics
1 answer:
Ivenika [448]3 years ago
6 0

Answer:

81 in²

Step-by-step explanation:

The 3-dimensional shape given is a square pyramid having a square base, and 4 right triangular side faces that are the same.

The surface area can be calculated by finding the area of the square base and the area of the 4 triangular side faces. Then sum all the areas together.

Or, we can use the following formula below: Base Area + ½(Perimeter of base) × Slant Length

Where,

Base area = s² = 5² = 25 in²

Perimeter of base = 4(s) = 4(5) = 20 in

Slant height = 5.6 in

Surface area = 25 + ½(20) × 5.6

= 25 + 10 × 5.6

= 25 + 56

Surface area = 81 in²

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2 years ago
A boiler room has the shape of a rectangular prism. The area of the floor of the room is 112 square feet. The length of the room
Naddik [55]

Answer:

Length = 16 feet.

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Step-by-step explanation:

There is a rectangular prism boiler room. 112 square feet is the floor area of the room.

Let the length of the room is L feet and width is W feet.

So, LW = 112 ...... (1)

Now, given that L = 2 + 2W ........ (2) , hence, from equation (1) we get  

(2 + 2W)W = 112

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Hence, from equation (2) we get L = 2W + 2 = 16 feet.

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Hence, H = 7 + 1 = 8 feet.

Therefore, the volume of the room is, V = LWH = 16 × 7 × 8 = 896 cubic feet. (Answer)

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3 years ago
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