A gift box of cubical shape of dimension 55cm needs to be covered with colour paper.how many colour paper is needed to cover the box if one sheet of colour paper dimension is 35cm x 35cm. Find its volume.
Answers
Answer:
Given information –
- The dimension of the cubical shape is 55 cm.
- The dimension of the colour paper is 35 cm × 35 cm.
To Find –
- Number of colour papers needed ?
- Volume of the cubical shape.
Solution –
Total surface area of the cubical shape : 6l².
➸ 6 * 55²
➸ 6 * 3,025
➸ 18,150 cm²
Total surface area of the cubical shape is 18,150 cm².
Area of colour paper : a².
➸ 35 * 35
➸ 1,225 cm²
Area of one sheet is 1,225 cm².
Number of sheets : Area of cubical shape/Area of one sheet.
➸ 18,150/1,225
➸ 14.81
➸ Approx 15 sheets
Total number of seats required to cover the cubical shape is 15.
Volume of cube : l³.
➸ 55 * 55 * 55
➸ 166,375 cm³
Volume of the cubical shape is 166,375 cm³.
Answer:
Solution –
Total surface area of the cube : 6a².
= 6 * 55²
= 6 * 3,025
= 18,150 cm²
Step-by-step explanation:
Total surface area of the cubical shape = 18,150 cm².
Area of colour paper : a².
35 * 35
= 1,225 cm²
Area of one sheet is 1,225 cm².
Number of sheets : Area of cube / Area of one sheet.
= 18,150/1,225
= 14.81
= Approximately 15 sheets!
Total number of seats required to cover the cubical shape is 15.
Volume of cube : a³.
= 55 * 55 * 55
= 166,375 cm³
Volume of the cubical shape is 166,375 cm³.
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