Track / Stage 4 / 37 of 340 #297 of 2000

Problem 297

AMC 12 late, AIME early

Geometry Difficulty 4.5 Find the answer

In the diagram, the cube has a volume of $8 \mathrm{~cm}^{3}$ . What is the value of $x$ ?
(A) 2
(B) 8
(C) 4
(D) 6
(E) 3

Your answer

Official solution

Since the side length of the cube is $x \mathrm{~cm}$ , its volume is $x^{3} \mathrm{~cm}^{3}$ .

Since the volume is known to be $8 \mathrm{~cm}^{3}$ , then $x^{3}=8$ so $x=2$ (the cube root of 8 ).

ANswer: (A)

Source: NuminaMath-1.5, licensed Apache-2.0. Statement and solution reproduced as published; topic, difficulty and ordering added by this site.