Printable

2020 AMC 10A Problem 10

Include the solution Back to the problem

2020 AMC 10A Problem 10AMC 10 Step by Step

Name: Date: September 13, 2026

Solid Geometry · difficulty 2 of 5 · about 3 min · position P1-10

Seven cubes, whose volumes are $1$ , $8$ , $27$ , $64$ , $125$ , $216$ , and $343$ cubic units, are stacked vertically to form a tower in which the volumes of the cubes decrease from bottom to top. Except for the bottom cube, the bottom face of each cube lies completely on top of the cube below it. What is the total surface area of the tower (including the bottom) in square units?

A)
$644$
B)
$658$
C)
$664$
D)
$720$
E)
$749$

2020 AMC 10A Problem 10

Working