turkey-yks 2024 Q40

turkey-yks · Other · yks-ayt Not Maths
The cubic block shown in Figure 1 is cut along the dashed lines and a rectangular prism-shaped piece is removed from this block. By removing this piece, the appearance shown in Figure 2 is obtained. As a result, the surface area of the block decreases by 40 square units and the volume decreases by 180 cubic units.
Given that the edge lengths of the removed piece are integers in units, what is the surface area of this piece in square units?
A) 202 B) 216 C) 222 D) 234 E) 256
The cubic block shown in Figure 1 is cut along the dashed lines and a rectangular prism-shaped piece is removed from this block. By removing this piece, the appearance shown in Figure 2 is obtained. As a result, the surface area of the block decreases by 40 square units and the volume decreases by 180 cubic units.

Given that the edge lengths of the removed piece are integers in units, what is the surface area of this piece in square units?

A) 202
B) 216
C) 222
D) 234
E) 256