Question

A tin box of 1 m length, 85 cm width and 60 cm depth is to be made. If the box is without top, find the area of the tin required to make the box and the cost of tin at the rate of rupees 0.50 per sq. cm...​​ (please write in copy)​

Answer 1

Answer:

Area of tin required = 30700 cm²

Cost of tin at the rate of Rs 0.50/cm² = Rs 15350

Step-by-step explanation:

We have: Dimensions of tin box:

Length = 1 m = 100 cm

Width/Breadth = 85 cm

Depth/Height = 60 cm

To find the area of the tin required to make the box if the box is without top:

Formula: Curved Surface area + Area of bottom

= 2(Length + Breadth)Height + Length × Breadth sq. unit

= 2(100 + 85)60 + 100 × 85 cm²

= 120 × 185 + 8500 cm²

= 22200 + 8500 cm²

= 30700 cm²

Now,

Cost of 1 cm² tin = Rs 0.50

Cost of 30700 cm² = Rs 0.50 × 30700

= Rs 15350

Answer 2

Answer:

Given :-

• A tin of 1 m length, 85 cm width and 60 cm depth is to be made and the cost of tin at the rate of Rs 0.50 cm².

To Find :-

• What is the cost of the tin required to make the box.

Formula Used :-

✪ Lateral surface area of cuboid + Base area = 2h(l + b) + lb ✪

where,

• h = Height
• l = Length
• b = Breadth

Solution :-

First, we have to change m into cm,

As we know that,

➙ 1 m = 100 cm

Then,

• Length = 1 m = 100 cm
• Breadth = 85 cm
• Height = 60 cm

According to the question by using the formula we get,

⇒ 2 × 60(100 + 85) + 100 × 85

⇒ 2 × 60(185) + 8500

⇒ 120(185) + 8500

⇒ 22200 + 8500

➠ 30700 cm²

Hence, the area of the tin is 30700 cm².

Now, we have to find the cost of the tin,

If, the cost of 1 cm² tin is Rs 0.50

Then, the cost of 30700 cm² is 30700 × Rs 0.50 = Rs 15350.

∴ The total cost of tin is Rs 15350 .