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# A cuboidal tin box opened at the top has dimensions 20 cm × 16 cm × 14 cm. What is the total area of metal sheet required to make 10 such boxes?

**Solution:**

To calculate the material required we have to find out the area of the four walls of the box and the bottom.

Since the box dimensions are 20 cm × 16 cm × 14 cm, we can calculate the total area of the metal sheet as follows:

Area of the bottom of the box = 20 × 16 = 320 cm²

Area of the first pair of walls = 2 × (20 × 14) = 2 × 280cm² = 560 cm²

Area of the second pair of walls = 2 × (16 × 14) = 2 × 224 cm² = 448 cm²

The total area of the metal sheet required for making the box is calculated as below:

Total area of metal sheet required for one box = 320 + 560 + 448 = 1328 cm²

Therefore total metal sheet required for 10 boxes = 10 × 1328 cm² = 13280cm² or 1.328m²

**✦ Try This: **A cuboidal tin box opened at the top has dimensions 18 cm × 12 cm × 10 cm. What is the total area of metal sheet required to make 20 such boxes?

To calculate the material required we have to find out the area of the four walls of the box and the bottom.

Since the box dimensions are 18 cm × 12 cm × 10cm, we can calculate the total area of the metal sheet as follows:

Area of the bottom of the box = 18 × 12 = 216 cm²

Area of the first pair of walls = 2 × (18 × 10) = 2 × 180cm² = 360 cm²

Area of the second pair of walls = 2 × (12 × 12) = 2 × 144 cm² = 288 cm²

The total area of the metal sheet required for making the box is calculated as below:

Total area of metal sheet required for one box = 216 + 360 + 288 = 864 cm²

Therefore total metal sheet required for 20 boxes = 20 × 864 cm² = 17280cm² or 1.728m²

**☛ Also Check:** NCERT Solutions for Class 8 Maths Chapter 11

**NCERT Exemplar Class 8 Maths Chapter 11 Problem 95**

## A cuboidal tin box opened at the top has dimensions 20 cm × 16 cm × 14 cm. What is the total area of metal sheet required to make 10 such boxes?

**Summary:**

A cuboidal tin box opened at the top has dimensions 20 cm × 16 cm × 14 cm. The total area of metal sheet required to make 10 such boxes is 13280 cm² or 1.328 m²

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