Question

Shanti Sweets Stall was placing an order for making cardboard boxes for packing
their sweets. Two sizes of boxes were required. The bigger of dimensions
25 cm x 20 cm x 5 cm and the smaller of dimensions 15 cm x 12 cm x 5 cm. For all the
overlaps, 5% of the total surface area is required extra. If the cost of the cardboard is
4 for 1000 cm", find the cost of cardboard required for supplying 250 boxes of each
kind.
​

Answer 1

$\Large {\underline{\underline{\mathfrak Question:}}}$

Shanti Sweets Stall was placing an order for making cardboard boxes for packing their sweets. Two sizes of boxes were required. The bigger of dimensions 25 cm x 20 cm x 5 cm and the smaller of dimensions 15 cm x 12 cm x 5 cm. For all the overlaps, 5% of the total surface area is required extra. If the cost of the cardboard is ₹ 4 for 1000 cm², find the cost of cardboard required for supplying 250 boxes of each kind.

$\bf{\underline{\underline{Answer:}}}$

• Cost of cardboard = ₹ 2184

$\bold{\underline {Given:}}$

• The bigger of dimension 25 cm × 20 cm × 5 cm.

• The smaller of dimensions 15 cm × 12 cm × 5 cm.

• The cost of the cardboard is ₹ 4 for 1000 cm²

$\bold{\underline {To\:find:}}$

• The cost of cardboard required for supplying 250 boxes of each type.

$\bf{\underline{\underline{Step\: by\: step \:explanation:}}}$

Surface area of 1 big box 2(25 x 20 + 20 x 5 + 25 x 5) cm² = 1450 cm².

$\bigstar{\boxed{\bf Total\: Surface\: Area = 2(lb + bh + hl)}}$

As 5% of total surface is required extra for overlaps,

∴ area of cardboard required for making one big box

$=\left( 1 + \dfrac{5}{100}\right) \times 1450 cm^2 \\ \\ = \dfrac{21}{20} \times 1450 cm^2 \\ \\ = 1522.5 cm^2$

∴ Area of cardboard required for making 250 big boxes

= 1522. 5 x 250 cm²= 380625 cm². cm².

Surface area of 1 small box =2(15 x 12 + 12 x 5 + 15 x 5) cm² = 630 cm².

As 5% of total surface area is required for overlaps,

∴ area of cardboard required for making one small box

$=\left( 1 + \dfrac{5}{100}\right) \times 630 cm^2 \\ \\ = \dfrac{21}{20} \times 630 cm^2 \\ \\ = 661.5 cm^2$

∴ Area of cardboard required for making 250 small boxes

= 661.5 x 250 cm²= 165375 cm².

∴. Total area of cardboard required for supplying 250 big boxes and 250 small boxes

= (380625 + 165375) cm² = 546000 cm².

As cost of 1000 cm² of cardboard is ₹ 4,

∴ cost of 546000 cm² of cardboard

=₹$\dfrac{546000\times 4}{1000}$ = ₹2184

Answer 2

Answer:

Here is the answer

Step-by-step explanation:

Hope you understand it