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Maths Solve The Following Question.1MARKS

Cubes and Cube Roots · Maharashtra Board STD 8 (MSBSHSE - Semi English Medium). 16 questions.

Questions

Solve The Following Question.1MARKS

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16 questions · self-marked practice — reveal the answer and mark yourself.

Question 11 Mark
Evaluate:
$(0.05)^3$
Answer
$(0.05)^3$
$= (0.05 \times 0.05 \times 0.05)$
$=  0.000125$
Thus, the cube of 0.05 is 0.000125.
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Question 21 Mark
Fill in the blank.
$(0.5)^3=\ldots \ldots$
Answer
$(0.5)^3=\underline{ 0 . 1 2 5 }$.
Solution:
$(0.5)^3$
$=0.5 \times 0.5 \times 0.5$
$=0.125$
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Question 31 Mark
Evaluate:
$(1.2)^3$
Answer
$(1.2)^3$
$=(1.2 \times 1.2 \times 1.2)$
$=1.728$
Thus, the cube of 1.2 is 1.728 .
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Question 41 Mark
Evaluate:
$(3.5)^3$
Answer
$(3.5)^3$
$=(3.5 \times 3.5 \times 3.5)$
$=42.875$
Thus, the cube of 3.5 is 42.875 .
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Question 71 Mark
Evaluate $\Big(1\frac{2}{5}\Big)^3$
Answer
$\Big(1\frac{2}{5}\Big)^3$
$=\Big(\frac{7}{5}\Big)^3$
$=\frac{7\times7\times7}{5\times5\times5}$
$=\frac{343}{125}$
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Question 81 Mark
Which of the following numbers are perfect cubes? In case of perfect cube, find the number whose cube is the given number.
243
Answer
243 is not a perfect cube.
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Question 91 Mark
Evaluate:
$(60)^3$
Answer
$(60)^3$
$= (60 \times 60 \times 60)$
$= 216000$
Thus, the cube of 60 is 216000 .
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Question 101 Mark
Fill in the blank.
$\sqrt[3]{\frac{\text{a}}{\text{b}}}=\ .....$
Answer
$\sqrt[3]{\frac{\text{a}}{\text{b}}}=\frac{\sqrt[3]{\text{a}}}{\sqrt[3]{\text{b}}}$
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Question 111 Mark
Which of the following numbers are perfect cubes? In case of perfect cube, find the number whose cube is the given number.
256
Answer
256 is not a perfect cube.
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Question 121 Mark
Fill in the blank.
$\sqrt[3]{\text{ab}}=\big(\sqrt[3]{\text{a}}\big)\times(.......)$
Answer
$\sqrt[3]{\text{ab}}=\big(\sqrt[3]{\text{a}}\big)\times\big(\sqrt[3]{\text{b}}\big)$
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Question 131 Mark
Evaluate:
$(0.8)^5$
Answer
$(0.8)^3$
$=(0.8 \times 0.8 \times 0.8)$
$=0.512$
Thus, the cube of 0.8 is 0.512 .
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Question 151 Mark
Which of the following numbers are perfect cubes? In case of perfect cube, find the number whose cube is the given number.
5324
Answer
5324 is not a perfect cube.
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