Find the surface area and volume of a pentagonal prism with the given apothem length 12, side 6 and height 8.2

Guest Apr 29, 2015

#2**+5 **

I am going to assume it is a regular pentagonal prism.

a=12, b=6 and h=8.2

the area of the pentagon base = 5* (1/2)*6*12 = 180 thingys squared

Volume of pentagon = 180*8.2 = 1476 thingys cubed

area of each rectangular side = 6*8.2= 49.2 thingys squared

surface area = $${\mathtt{5}}{\mathtt{\,\times\,}}{\mathtt{49.2}}{\mathtt{\,\small\textbf+\,}}{\mathtt{2}}{\mathtt{\,\times\,}}{\mathtt{180}} = {\mathtt{606}}$$ thingys squared

Did I get the terminology correct TitaniumRome ?

Melody
Apr 29, 2015

#1**0 **

volume:

12*6*8.2=590.4 unit thingys cubed

surface area:

12*6*2+6*8.2*2+8.2*12*2=439.2 unit thingys squared

overall, your answers for volume and surface area are:

Volume: 590.4 Unit Thingys Cubed

Surface Area: 439.2 Unit Thingys Squared

TitaniumRome
Apr 29, 2015

#2**+5 **

Best Answer

I am going to assume it is a regular pentagonal prism.

a=12, b=6 and h=8.2

the area of the pentagon base = 5* (1/2)*6*12 = 180 thingys squared

Volume of pentagon = 180*8.2 = 1476 thingys cubed

area of each rectangular side = 6*8.2= 49.2 thingys squared

surface area = $${\mathtt{5}}{\mathtt{\,\times\,}}{\mathtt{49.2}}{\mathtt{\,\small\textbf+\,}}{\mathtt{2}}{\mathtt{\,\times\,}}{\mathtt{180}} = {\mathtt{606}}$$ thingys squared

Did I get the terminology correct TitaniumRome ?

Melody
Apr 29, 2015