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Find the volume of the attached figure...
Help please!!! I'll give brainliest if you explain your answer!!!

Find The Volume Of The Attached Figure Help Please Ill Give Brainliest If You Explain Your Answer class=

Sagot :

skelekitty03
First find the area of the pentagon. The equation for this is Area = pa/2, with p being the perimeter and a being the apothem (2.75in). The perimeter is 4*5, since there are five sides and one of them is four inches. This means the perimeter is 20 inches. Back to the equation, 20*2.75 = 55. 55/2 = 27.5in^2.

Next, multiply by the height. This shape’s height is 3 inches. 27.5*3 = 82.5.

The volume is 82.5 in^3
mhanifa

Answer:

  • 82.5 cubic inches

Step-by-step explanation:

Given pentagonal prism.

The base is a regular pentagon with side of 4 in and the distance from the center to side 2.75 in.

By connecting the center to each vertex we get 5 equal triangles with side of 4 in and height of 2.75 in.

Find the base area:

  • B = 5*1/2*4*2.75 = 27.5

Find the volume:

  • V = Bh
  • V = 27.5*3 = 82.5

The volume is 82.5 cubic inches

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