2020 AMC 10 B

Complete problem set with solutions and individual problem pages

Problem 2 Easy

Carl has 5 cubes each having side length 1 , and Kate has 5 cubes each having side length 2 . What is the total volume of these 10 cubes?(2020 AMC 10B, Question #2)

  • A.

    24

  • B.

    25

  • C.

    28

  • D.

    40

  • E.

    45

Answer:E

A cube with side length 1 has volume 1^{3}=1, so 5 of these will have a total volume of 5 \cdot 1=5.

A cube with side length 2 has volume 2^{3}=8, so 5 of these will have a total volume of 5 \cdot 8=40. 5+40=(\text{E})