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Mathematics · 2024 · 4 marks
CBSE 2024 · Region 4 · Set 1 · Q38
Tamper-proof tetra-packed milk guarantees both freshness and security. This milk ensures uncompromised quality, preserving the nutritional values…
Tamper-proof tetra-packed milk guarantees both freshness and security. This milk ensures uncompromised quality, preserving the nutritional values within and making it a reliable choice for health-conscious individuals.
$\displaystyle 500$ mL milk is packed in a cuboidal container of dimensions $\displaystyle 15$ cm × $\displaystyle 8$ cm × $\displaystyle 5$ cm. These milk packets are then packed in cuboidal cartons of dimensions $\displaystyle 30$ cm × $\displaystyle 32$ cm × $\displaystyle 15$ cm. Based on the above given information, answer the following questions :
(i)
Find the volume of the cuboidal carton.
(ii)
(a)
Find the total surface area of a milk packet.
OR
(b)
How many milk packets can be filled in a carton ?
(iii)
How much milk can the cup (as shown in the figure) hold ?
Marking-scheme solution
(i) Volume of cuboidal carton \(\displaystyle =30 \times 32 \times 15\)
\[=14400 \mathrm{~cm}^{3}
\]
(ii) (a) Total surface area of milk packet \(\displaystyle =2(15 \times 8+8 \times 5+5 \times 15)\)
\[=470 \mathrm{~cm}^{2}
\]
(ii) \[\text { (b) } \begin{aligned}
\text { Number of milk packets in carton } & =\frac{30 \times 32 \times 15}{15 \times 8 \times 5} \\
& =24
\end{aligned}
\]
(iii) \[\begin{aligned}
\text { Capacity of the cup } & =\frac{22}{7} \times 5 \times 5 \times 7 \\
& =550 \mathrm{~cm}^{3} \text { or } 550 \mathrm{ml}
\end{aligned}
\]
All Surface Areas and Volumes questions2024 question paperNCERT solutions: Surface Areas and VolumesPractice Surface Areas and Volumes →
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CBSE Class 10 Mathematics past-paper question from the 2024 board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.