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)
+128460 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
