The box of Moe's Toblerone chocolate bar is shaped like an equilateral triangular prism with a slant height of 4.3 km, and 3D depth of 12.8 km. What is the maximum capacity of the box?

1 Answer
sankarankalyanam
Jul 30, 2018

#color(indigo)("Max. capacity of the box " = 102.482 " cubic km"#

Explanation:

#"Volume of prism " = V = "Area of base " A_b xx" height " h#

Since the base is an equilateral triangle, all the three sides are equal.

hence slant height = base = b = 4.3 km#

#A_b =( sqrt3 / 4) b^2 = (sqrt3 / 4) * 4.3^2 ~~ 8.0064 sq. km.#

#"Volume of prism " = V = 8.0064 * 12.8 ~~ 102.482 " cub. km "#

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