54
Case Study - 3
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.
$500$ mL milk is packed in a cuboidal container of dimensions $15$ cm x $8$ cm x $5$ cm. These milk packets are then packed in cuboidal cartons of dimensions $30$ cm x $32$ cm x $15$ 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 ?
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.
$500$ mL milk is packed in a cuboidal container of dimensions $15$ cm x $8$ cm x $5$ cm. These milk packets are then packed in cuboidal cartons of dimensions $30$ cm x $32$ cm x $15$ 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 ?
Show SolutionHide Solution↓
(i) Volume of cuboidal carton $$\begin{aligned}& = 30\times32\times15 \\ & = 14400 \text{ cm}^3 \\ & \text{(ii)(a) Total surface area of milk packet } = 2(15\times8+8\times5+5\times15) \\ & = 470 \text{ cm}^2 \\ & \text{OR} \\ & \text{(ii) (b) Number of milk packets in carton } = \frac{30\times32\times15}{15\times8\times5} \\ & = 24 \\ & \text{(iii) Capacity of the cup } = \frac{22}{7} \times 5 \times 5 \times 7 \\ & = 550 \text{ cm}^3 \text{ or } 550 \text{ ml}\end{aligned}$$