A candy 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.

Part B: What is the approximate amount of cardboard used to make the sides of the candy box? Explain how you got your answer.

Guest May 25, 2017

#2**+2 **

Does the prism look something like this?

Part A:

In the purple writing, I found the height of the triangle using the Pythagorean theorem.

I think this is what the question is calling the "height of the box".

height of the box = 15 cm

Part B:

The amount of cardboard needed for the sides will be the lateral area of this prism.

lateral area = perimeter of triangle * height of prism

lateral area = (16 + 17 + 17) * 20

lateral area = 50 * 20

lateral area = 1,000 cm^{2}

hectictar
May 25, 2017

#1**+1 **

this is what i've gotten so far. i've only firgured out most of part b

Part B: first, i drew out the actual shape, but just flat. then i labeled all of the sides w/ their measurments. next, i found the area for each individual shape.

TRIANGLES: (17 * 16) / 2 = 136

RECTANGLES: 20 * 16 = 320

Guest May 25, 2017

#2**+2 **

Best Answer

Does the prism look something like this?

Part A:

In the purple writing, I found the height of the triangle using the Pythagorean theorem.

I think this is what the question is calling the "height of the box".

height of the box = 15 cm

Part B:

The amount of cardboard needed for the sides will be the lateral area of this prism.

lateral area = perimeter of triangle * height of prism

lateral area = (16 + 17 + 17) * 20

lateral area = 50 * 20

lateral area = 1,000 cm^{2}

hectictar
May 25, 2017