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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)

A Candy Bar Box Is In The Shape Of A Triangular Prism The Volume Of The Box Is 1200 Cubic Centimeters A Triangular Prism Is Shown With Base Of Triangle Labeled class=

Sagot :

The height of the base and the perimeter length are respectively; 12 cm and 840 cm

How to find the volume of a Prism?

We are told that;

Volume of Triangular Prism = 1200 m³

Base length = 10 cm

Side length of triangle = 13

Length of box = 20

Now, formula for volume of a  triangular prism is;

V = ¹/₄h√(-a⁴ + 2(ab)² + 2(ac)² - b⁴ + 2(bc)² - c⁴)

where;

a is side length of triangle

b is base side length

c is also side length of other triangle

h is length of box

Thus;

Using Pythagoras theorem, we can find the height of the base as;

D = √(13² - 5²)

D = √144

D = 12 cm

B) Formula for perimeter length of triangular prism is;

P = (S1 + S2 + S3)L + BH

P = (13 + 13 + 10)20 + 10(12)

P = 720 + 120

P = 840 cm

Read more about Volume of a Prism at; https://brainly.com/question/23741714

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