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spin [16.1K]
3 years ago
6

What is the surface area of the following prism

Mathematics
1 answer:
Oksi-84 [34.3K]3 years ago
7 0

Answer:

588 ft^2

Step-by-step explanation:

Lets start by making either a mental or physical list of the different sized sides on the prism. Check that the number of sides you assign to the dimensions has an overall total of six. I've made that mistake before lol it was a bit depressing.

  1. 16x6, two sides
  2. 16x9, two sides
  3. 6x9, two sides

  1. thats 96 ft^2, and two sides makes it 192 ft^2
  2. thats 144 ft^2, and two sides makes it 288 ft^2
  3. thats 54 ft^2, and two sides makes it 108 ft^2

We can now add all of our values up:

192 + 288 + 108 = 588 ft^2

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Answer:

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Step-by-step explanation:

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3 years ago
A blueprint for a house states that 2.5 inches equal 10 feet. If the length of a wall is 12 feet how many inches is the wall in
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4 0
4 years ago
PLEASE HELP ME WITH THIS THANKS
kotykmax [81]

Answer:

SA = 1244.64 square centimeters

Step-by-step explanation:

From the attached figure

The formula of the surface area of the prism is SA = 2B + PH, where

  • B is the area of its base
  • P is the perimeter of its base
  • H is the distance between its bases

The base of the prism is a regular hexagon with side 8 cm

If you join each vertex of the hexagon with its center you will form 6 congruent triangles with base 8 cm and height 6.93 cm

The area of the hexagon = 6 × area of a triangle

∵ The base of the triangle = 8 cm

∵ Its height = 6.93 cm

- The formula of the area of a triangle is A = \frac{1}{2} × base × height

∴ Area of the triangle = \frac{1}{2} × 8 × 6.93 = 27.72 cm²

- Lets find the area of the hexagon

∴ The area of the hexagon = 6 × 27 .72 = 166.32 cm²

∴ B = 166.32 cm²

The formula of the perimeter of the regular hexagon is P = 6 × s, where s is the length of its side

∵ The side of the hexagon is 8 cm

∴ P = 6 × 8

∴ P = 48 cm

∵ The distance between the two bases is 19 cm

∴ H = 19 cm

Substitute the values of B, P and H in the formula of the surface area above

∵ SA = 2(166.32) + (48)(19)

∴ SA = 332.64 + 912

∴ SA = 1244.64 square centimeters

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