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Standard IX

Mathematics

Volume of a cube

The dimension...

Question

The dimensions of a rectangular block are in the ratio of 4:3:2. The volume is 31944 $d m^{3}$ . If its entire surface is polished at 3 paise per $d m^{2}$ , then the total cost will be:

Rs.125.84

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Rs.156.36

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Rs.188.76

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Rs.192.60

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Solution

The correct option is C
Rs.188.76

Let the dimension be 4x, 3x and 2x respectively.

Then, 4x $\times$ 3x $\times$ 2x = 31944 $\Leftrightarrow$ $x^{3}$ = $(\frac{31944}{24}) = 1331 \Leftrightarrow x = 11$

Cost of painting = 0.03x2 (44x33 + 22x33 + 44x22) = Rs.188.76

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Question 109

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The dimensions of a rectangular block are in the ratio of 4:3:2. The volume is 31944 dm3. If its entire surface is polished at 3 paise per dm2, then the total cost will be:

The correct option is C Rs.188.76 Let the dimension be 4x, 3x and 2x respectively. Then, 4x ×3x × 2x = 31944⇔ x3 = (3194424)=1331⇔x=11 Cost of painting = 0.03x2 (44x33 + 22x33 + 44x22) = Rs.188.76

The dimensions of a rectangular block are in the ratio of 4:3:2. The volume is 31944 $d m^{3}$ . If its entire surface is polished at 3 paise per $d m^{2}$ , then the total cost will be:

The correct option is C
Rs.188.76

Let the dimension be 4x, 3x and 2x respectively.

Then, 4x $\times$ 3x $\times$ 2x = 31944 $\Leftrightarrow$ $x^{3}$ = $(\frac{31944}{24}) = 1331 \Leftrightarrow x = 11$

Cost of painting = 0.03x2 (44x33 + 22x33 + 44x22) = Rs.188.76