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 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 CORECTLY FOR 30 PTS

The volume of the box is given as 2,400 cubic cm.

The volume is found using the formula 1/2 x base x height x length.

Fill in the known values and solve for the height:

2400 = 1/2 x height x 16 x 20

2400 = height x 160

Height = 2400/160

Height = 15 cm

B) Calculate the area of each side and add them together.

The bottom of the prism is 20 x 16 = 320 square cm

One side is 20 x 17 = 340 square cm.

The triangle is 1/2 x 16 x 15 = 120 square cm.

Total cardboard needed: 320 + 340 + 340 + 120 + 120 = 1240 square cm.The volume of the box is given as 2,400 cubic cm.

The volume is found using the formula 1/2 x base x height x length.

Fill in the known values and solve for the height:

2400 = 1/2 x height x 16 x 20

2400 = height x 160

Height = 2400/160

Height = 15 cm

B) Calculate the area of each side and add them together.

The bottom of the prism is 20 x 16 = 320 square cm

One side is 20 x 17 = 340 square cm.

The triangle is 1/2 x 16 x 15 = 120 square cm.

Total cardboard needed: 320 + 340 + 340 + 120 + 120 = 1240 square cm.

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