Section: Math 0 Likes
A piece of chocolate candy enclosing an almond in the center is made (September 2023 - G01)
A piece of chocolate candy enclosing an almond in the center is made in a rectangular mold that has inside dimensions 4 cm, 3 cm, and 2 cm.
If the volume of the almond is 2 cubic centimeters, what is the maximum volume, in cubic centimeters, of the chocolate in the piece of candy?
A. 7
B. 12
C. 16
D. 22
E. 24
Solution
Correct answer: D. 22.
Let's analyze the problem step-by-step:
Mold Volume: The mold has a length of 4 cm, width of 3 cm, and height of 2 cm. The volume of the mold is simply the product of these side lengths: Mold volume = l × w × h = 4 cm × 3 cm × 2 cm = 24 cubic centimeters.
Almond Volume: We are given that the almond volume is 2 cubic centimeters.
Chocolate Volume: Since the almond is inside the chocolate, the chocolate's volume is the mold's volume minus the almond's volume. Chocolate volume = Mold volume - Almond volume = 24 cubic centimeters - 2 cubic centimeters = 22 cubic centimeters.
Therefore, the maximum volume of the chocolate in the piece of candy is 22 cubic centimeters.
Exam Edition: September 2023 - G01
Exam Year: 2023
Related topics: Volume, Units