A candy bar box is in the shape of a triangular prism. The volume of the box is 2,400 cubic centimeters. 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)

Part A:

15 cm

Part B:

1240cm^2

Step-by-step explanation:

Part A:

Given the volume of the box, along with the base and length, we can calculate the value of the height using the following formula:

Substitute the values into the equation:

2400 = × 16 × h × 20

Multiply

2400 = 160h

Divide both sides by 160 to isolate the variable.

15 = h

Part B:

The amount of cardboard used is the surface area.

There are two methods to calculate the surface area:

1) First method:

A = bh + l(s1+s2+s3)

s: The sides of the Triangle/Base. (16, 17, 17)

Substituting the numbers into the equation you get:

A = 16×15 + 20(16+17+17)

A = 240 + 20(50)

A = 240 + 1000

A = 1240cm^2

2) Second method:

Calculate all sides individually to get the sum.

A = 2( 20 × 17 ) + 2( × 16 × 15 ) + ( 16 × 20 )

A = 2(340) + 2(120) + 320

A = 680 + 240 + 320 = 1240cm^2

The values in the brackets are the formulas for the area of each side.

We multiply the formulas by the number of matching sides.

(i.e There are 2 rectangular sides with the measurements 17 and 20)