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?

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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?

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Answer 1 · 2018-07-30T09:48:38

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

Explanation:

$Volume of prism = V = Area of base A_{b} \times height h$ $"Volume of prism " = V = "Area of base " A_b xx" height " h$

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

hence slant height = base = b = 4.3 km#

$A_{b} = (\frac{\sqrt{3}}{4}) b^{2} = (\frac{\sqrt{3}}{4}) \cdot {4.3}^{2} \approx 8.0064 s q . k m .$ $A_b =( sqrt3 / 4) b^2 = (sqrt3 / 4) * 4.3^2 ~~ 8.0064 sq. km.$

$Volume of prism = V = 8.0064 \cdot 12.8 \approx 102.482 cub. km$ $"Volume of prism " = V = 8.0064 * 12.8 ~~ 102.482 " cub. km "$

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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

Explanation:

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