1 Marks Question

Question 1011 Mark

Find the cube of:
2.1

Answer

We have:
$2.1=\frac{21}{10}$
Also, $\Big(\frac{\text{m}}{\text{n}}\Big)^3=\frac{\text{m}^3}{\text{n}^3}$
$\therefore\Big(\frac{21}{10}\Big)^3$
$=\frac{21^3}{10^3}$
$=\frac{21\times21\times21}{10\times10\times10}$
$=\frac{9261}{1000}$
$=9.261$

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Question 1021 Mark

Find the cube of:
-21

Answer

Cube of -21 is given as:
(-21)³ = -21 × -21 × -21 = -9261
Thuse, the of -21 is (-9261)

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Question 1031 Mark

Find the cube of:
1.5

Answer

We have:
$1.5=\frac{15}{10}$
Also, $\Big(\frac{\text{m}}{\text{n}}\Big)^3=\frac{\text{m}^3}{\text{n}^3}$
$\therefore\Big(\frac{15}{10}\Big)^3$
$=\frac{15^3}{10^3}$
$=\frac{15\times15\times15}{10\times10\times10}$
$=\frac{3375}{1000}$
$=3.375$

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Question 1041 Mark

Find the cube of:
-12

Answer

Cube of -12 is given as:
(-12)³ = -12 × -12 × -12 = -1728
Thuse, the of -12 is (-1728)

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Question 1051 Mark

Find the cube of:
-11

Answer

Cube of -11 is given as:
(-11)³ = -11 × -11 × -11 = -1331
Thuse, the of 11 is (-1331)

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Question 1061 Mark

Find the cube of:
0.3

Answer

We have:
$0.3=\frac{3}{10}$
Also, $\Big(\frac{\text{m}}{\text{n}}\Big)^3=\frac{\text{m}^3}{\text{n}^3}$
$\therefore\Big(\frac{3}{10}\Big)^3$
$=\frac{3^3}{10^3}$
$=\frac{3\times3\times3}{10\times10\times10}$
$-0.027$

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Question 1071 Mark

Find the cube of:
0.08

Answer

We have:
$0.08=\frac{8}{100}$
Also, $\Big(\frac{\text{m}}{\text{n}}\Big)^3=\frac{\text{m}^3}{\text{n}^3}$
$\therefore\Big(\frac{8}{100}\Big)^3$
$=\frac{8^3}{100^3}$
$=\frac{8\times8\times8}{100\times100\times100}$
$=\frac{512}{1000000}$
$=0.000512$

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Question 1081 Mark

Evaluate the following:
$\sqrt[3]{\frac{729}{216}}\times\frac{6}{9}$

Answer

To evaluate the value of the given expression, we need to proceed as follows:
$\sqrt[3]{\frac{729}{216}}\times\frac{6}{9}$
${\frac{\sqrt[3]{729}}{\sqrt[3]{216}}}\times\frac{6}{9}$
$=\frac{\sqrt[3]{9\times9\times9}}{\sqrt[3]{2\times2\times2\times3\times3\times3}}\times\frac{6}{9}$
$=\frac{9}{2\times3}\times\frac{6}{9}$
$=\frac{9^1}{6}\times\frac{6^1}{9}=1$
Thus, the answer is 1.

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Question 1091 Mark

Evaluate:
$\sqrt[3]{8\times17\times17\times17}$

Answer

Property:
For any two integers a and b, $\sqrt[3]{\text{ab}}=\sqrt[3]{\text{a}}\times\sqrt[3]{\text{b}},$
From the above property, we have:
$\sqrt[3]{8\times17\times17\times17}$
$=\sqrt[3]{2^3\times17^3}$
$=\sqrt[3]{2^3}\times\sqrt[3]{17^3}$
$=2\times17=34$

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Question 1101 Mark

Evaluate:
$\sqrt[3]{4^3\times6^3}$

Answer

Property:
For any two integers a and b, $\sqrt[3]{\text{ab}}=\sqrt[3]{\text{a}}\times\sqrt[3]{\text{b}},$
From the above property, we have:
$\sqrt[3]{-4^3\times6^3}$
$=\sqrt[3]{4^3}\times\sqrt[3]{6^3}$
$=4\times6=24$

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MATHS 1 Marks Question