Question

A candy bar box is in the shape of a triangular prism. The volume of the box is 1,200 cubic centimeters.

Answer 1

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 cm2

Answer 2

Answer:

1. A.  Height =    sqrt ( side lenth ^2 - (base/2)^2) =  sqrt (13^2  - 5^2)  = sqrt (169 - 25)   =sqrt ( 144)  =  12 cm

B.  Cardboard needed = Area  =  2* base area  + ( 20) ( 13 + 13 + 10)

2 *Base area  =  2*area of triangles at  both endes =   2* (1/2) (10)(12)  =  120

So...we have

120  + 20 ( 36) =

120  + 720  =