Question

HELP PLEASE! IM STRESSING 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)

Answer 1

diagram: https://hi-static.z-dn.net/files/de3/63de5079cbf213bae989527353e11249.jpg

Answer 2

part A:



if you split the base into two triangles, you get 2 right triangles with leg 5 and hypotenuse 13.

using the pythagorean theorem, letting the height of the triangle be x

5^2 + x^2 = 13^2

solve for x

you may also remember that there is a special right triangle involving leg 5 and hypotenuse 13

Answer 3

part B)

to find the total amount of cardboard, find the surface area of the prism.

you need to find the areas of:

1. each triangular base. recall: area of a triangle = (1/2)bh
there are 2 triangular bases, so multiply the area of the triangle by 2

2. the area of the left and right rectangular sides, with length 20 and width 13. recall: area of a rectangle = L*W

as before, there are 2 sides, so multiply the previous result by 2

3. the area of the bottom rectangle with length 20 and width 10. L*W again. however, this time there is only 1 of these sides.

add up the results from steps 1-3