The height of the base is 12cm.
The approximate amount of cardboard used to make the candy box is 720 cm².
Given
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 a base of the triangle labeled 10 cm, sides of the triangles labeled 13 cm, and length of the box equal to 20 cm.
The volume of a triangular prism is given by the formula;
[tex]\rm Volume=\dfrac{1}{2} \times length \times width \times height[/tex]
Part A: What is the height of the base?
The height of the base is given by;
[tex]\rm Volume=\dfrac{1}{2} \times length \times width \times height\\\\1200=\dfrac{1}{2}\times 20 \times 10 \times Height\\\\Height =\dfrac{1200\times 2}{20 \times 10}\\\\Height =\dfrac{2400}{200}\\\\Height = 12 \ cm[/tex]
The height of the base is 12cm.
Part B: What is the approximate amount of cardboard used to make the candy box?
The approximate amount of cardboard used to make the candy box is given by;
[tex]\rm Area = 2 \times length \times width+ length \times width \\\\Area = 2\times 20 \times 10+ 20\times 10\\\\Area = 520+200 \\\\Area = 720[/tex]
The approximate amount of cardboard used to make the candy box is 720 cm².
To know more about triangular prism click the link given below.
https://brainly.com/question/17056191
