Gujarat BoardEnglish MediumSTD 8MATHSCube and Cube Roots1 Mark
MCQ
How many perfect cubes are there between $1$ and $100?$
A
$5$
✓
$3$
C
$7$
D
$4$
✓
Answer
Correct option: B.
$3$
Finding all the perfect cubes between $1$ and $100$ we get,
$(2)^3 = 2 \times 2 \times 2 = 8$
$(3)^3 = 3 \times 3 \times 3 = 27$
$(4)^3 = 4 \times 4 \times 4 = 64$
$(5)^3 = 5 \times 5 \times 5 = 125$
Now, $125$ is more than $100$ which doesn't Satisfies the condition given in the question.
Therefore, there are $3$ perfect cubes between $1$ and $100.$
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