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Difference between revisions of "1998 CEMC Gauss (Grade 7) Problems/Problem 14"

(Created page with "== Problem == A cube has a volume of <math>125 \text{cm}^3.</math> What is the area of one face of the cube? <math>\text{(A)}\ 20 \text{cm}^2 \qquad \text{(B)}\ 25 \text{cm}...")
 
(→‎Solution)
 
Line 6: Line 6:
  
 
== Solution ==
 
== Solution ==
−
The side length of the cube is <math>\cbrt{125} = 5</math> cm, so the area of one face is <math>5^2 = 25 \text{cm}^2.</math>
+
The side length of the cube is <math>\sqrt[3]{125} = 5</math> cm, so the area of one face is <math>5^2 = 25 \text{cm}^2.</math>
  
 
The answer is <math>\text{(B)}.</math>
 
The answer is <math>\text{(B)}.</math>

Latest revision as of 15:36, 29 January 2021

Problem

A cube has a volume of $125 \text{cm}^3.$ What is the area of one face of the cube?


$\text{(A)}\ 20 \text{cm}^2 \qquad \text{(B)}\ 25 \text{cm}^2 \qquad \text{(C)}\ 41 \dfrac{2}{3} \text{cm}^2 \qquad \text{(D)}\ 5 \text{cm}^2 \qquad \text{(E)}\ 75 \text{cm}^2$

Solution

The side length of the cube is $\sqrt[3]{125} = 5$ cm, so the area of one face is $5^2 = 25 \text{cm}^2.$

The answer is $\text{(B)}.$

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