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A candy bar box is in the shape of a triangular prism. The volume of the box is 1,200 cubic centimeters. A triangular prism is shown with base of triangle labeled 10 cm, sides of the triangles labeled 13 cm, and length of the box equal to 20 cm. Part A: What is the height of the base? Show your work. (5 points) Part B: What is the approximate amount of cardboard used to make the candy box? Explain how you got your answer. (5 points)

 Feb 18, 2020
 #1
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since when were candy bars triangular prisims???

 Feb 18, 2020
 #2
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A.  Height =    sqrt ( side lenth ^2 - (base/2)^2) =  sqrt (13^2  - 5^2)  = sqrt (169 - 25)   =sqrt ( 144)  =  12 cm

 

B.  Cardboard needed = Area  =  2* base area  + ( 20) ( 13 + 13 + 10)

 

2 *Base area  =  2*area of triangles at  both endes =   2* (1/2) (10)(12)  =  120

 

So...we have

 

120  + 20 ( 36) =

 

120  + 720  =

 

840 cm^2

 

cool cool cool

 Feb 18, 2020

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