How much paper would you need to wrap a box 10cm wide, 25cm high, and 50cm
long?
2(10 * 25) + 2(10 * 50) + 2(25 * 50) = ______ square cm
4000 square cm
To calculate the amount of paper needed to wrap a box, we need to find the surface area of the box.
The box has six sides, so we need to calculate the area of each side and then sum them up.
The area of the top and bottom sides can be found by multiplying the width and length:
Area of top/bottom = 10 cm * 50 cm = 500 cm²
The area of the front and back sides can be found by multiplying the height and length:
Area of front/back = 25 cm * 50 cm = 1250 cm²
The area of the two side faces can be found by multiplying the width and height:
Area of sides = 10 cm * 25 cm = 250 cm²
To find the total surface area, we need to sum up all the individual areas:
Total surface area = 2 * (Area of top/bottom) + 2 * (Area of front/back) + 2 * (Area of sides)
= 2 * 500 cm² + 2 * 1250 cm² + 2 * 250 cm²
= 1000 cm² + 2500 cm² + 500 cm²
= 4000 cm²
Therefore, you would need 4000 cm² of paper to wrap the box.
To calculate the amount of paper required to wrap a box, we need to find the surface area of the box. The surface area is the sum of the areas of all six sides of the box.
Let's break it down step by step:
1. Calculate the area of the base of the box:
The base is a rectangle with dimensions 10cm by 50cm, so the area of the base is 10cm * 50cm = 500 square cm.
2. Calculate the areas of the four sides:
There are two sides with dimensions 10cm by 25cm (top and bottom): 2 * 10cm * 25cm = 500 square cm.
And there are two sides with dimensions 25cm by 50cm (front and back): 2 * 25cm * 50cm = 2500 square cm.
3. Calculate the areas of the two remaining sides:
There are two sides with dimensions 10cm by 50cm (left and right): 2 * 10cm * 50cm = 1000 square cm.
4. Add up the areas of all six sides to get the total surface area:
Total surface area = base + four sides + two remaining sides = 500 + 500 + 2500 + 1000 = 4500 square cm.
Therefore, you would need a piece of paper with a surface area of 4500 square cm to wrap the box completely.