Math

A chocolate company produces different sizes of chocolate bars that are packaged in equilateral triangular prisms. Here is the 100-g chocolate bar.
Height- 3.1cm
Lenght-3.5cm
Wide- 21cm

a. Calculate the volume of the box.
b.The company produces a 400-g chocolate bar. It has the same shape as the 100-g bar.
i. What are the possible dimensions for the 400-g box?
ii. How are the dimensions of the two boxes related?

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  1. (a) volume is length * height * width
    (b ii) since the weight is 4 times as much, so is the volume. Since volume grows as the cube of the linear scale factor, each dimension needs to be multiplied by ∛4

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