Acandy bar box is in the shape of a triangular prism. the volume of the box is 2,400 cubic centimeters.

a triangular prism is shown with base of triangle labeled 16 cm, sides of triangles labeled 17 cm, and length of the box equal to 20 cm.

part a: what is the height of the box? show your work. (5 points)

part b: what is the approximate amount of cardboard used to make the sides of the candy box? explain how you got your answer. (5 points)

Height is originally defined as the measure of the gap line connecting the lowest and highest spots of a thing or an individual standing perpendicular. Height a common measurement method that is taught to students from lower grades in order to have a clear concept of measuring figures in mathematical subjects. This further helps in finding the area of the figure in real life as well.

H = 15 cm

Explanation

The height of the triangle can be found through the application of the Pythagoras theorem. As the height of the  triangle would be the “height of the box”

Calculation using the triangular prism formula

8^2 + h^2=17^2

Rearranging the equation in order to solve it to find the height of the box.

h=✓17^2-8^2

h=✓125

h=15 cm

Thereby, the height of the box as per the question's requirement is 15 centimeters heigh.

Area = 1000

Explanation

To calculate the amount of cardboard required for the sides will be the area (lateral) of the prism.

The formula is the perimeter of base x height.

So the formula is sides are to be added and area to be multiplied.

Substituting the given values in the formula.

(16+17+17)x20

Lateral area

=50*20

=1000 cm

The amount of cardboard used to make the sides of the candy box was found using the formula of the lateral area of the box that must have been measured earlier by the individual. As seen the sides measurement is given in the question that the volume of the box is approximately 2400^3 centimeter of the candy box. Therefore the calculation showed that  1000cm.

step-by-step explanation:

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