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)

that is the answer

Step-by-step explanation:

Using the Pythagorean Theorem we split the base in 2 which gives us 5 and we start the process 5^2+x^2=13^2 25+x^2=169 -25+x^2=169-25 x^2=144 take the square root of both sides and we get 12 as the height. Doing b*h/2 to get the area of the triangular sides we get 12*10=120/2 we get 60 as the amount of cardboard they need to use. For the other side, we use l*w=A to get 260

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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

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