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)

y + 11 = (1/4)(x + 16)

step-by-step explanation:

answer: c, the green line

step-by-step explanation:

there is no black line, eliminate b.

simple interest implies periodic payments, but the red line shows no payments, eliminate d.

simple interest has equal payments. if paid say every day, the graph is about a straight line (actually a stairstep).

the yellow line is not straight, eliminate a.

check: the green line is straight, answer is c.

simple interest with positive interest rate gives a straight line sloping up to the right. green line:

g(t) = $100 + ($200-$100) ÷ (20 years) × (t years)

= $100 + (4%/year) × ($100)(t years)

incidentally, the yellow line curving upward represents continuously compounded interest

y = $100 × 2^(t years / (14 assuming the yellow line hits $200 at 14 years. 2^0 is 1, so y(0) = $100; 2^(14/14) is 2, so y(14) = $200.