Question

Помогите!!!!! ПОЖАЛУЙСТА! СРОЧНО! Коробка имеет форму прямоугольного параллелепипеда (без крышки). Известно,что объем коробки равен 180 см3,а стороны основания - 6 см и 10 см. Сколько бумаги потребуется для оклейки коробки изнутри?

Answer 1

180:6:10=3см высота
6*10=60см.кв основание
6*3=18см.кв одна стенка
10*3=30см кв вторая стенка
60+ 18*2+30*2=60+36+60=156 см кв бумаги потребуется

Answer 2

h=180/(6*10)=3 см;
Sбоковая=2*(6*3)+2*(10*3)+(6*10)=36+60+60=156 см² - потребуется.
Ответ:156 см²

Answer 3

Calculating Paper Needed to Line the Box

To calculate the amount of paper needed to line the inside of the box, we can start by finding the surface area of the four sides of the box. The formula for the surface area of a rectangular prism (box) is given by:

Surface Area = 2lw + 2lh + 2wh

Where: - l = length - w = width - h = height

Given that the volume of the box is 180 cm³ and the sides of the base are 6 cm and 10 cm, we can calculate the height of the box using the formula:

Volume = lwh

Let's calculate the height of the box first.

Calculating the Height of the Box

Using the given volume and the sides of the base, we can calculate the height of the box as follows:

180 = 6 * 10 * h

h = 180 / (6 * 10)

h = 3 cm

Now that we have the height, we can calculate the surface area of the four sides of the box.

Calculating the Surface Area of the Box

Using the formula for the surface area of a rectangular prism, we can calculate the surface area as follows:

Surface Area = 2lw + 2lh + 2wh

Surface Area = 2(6*3) + 2(6*10) + 2(3*10)

Surface Area = 36 + 120 + 60

Surface Area = 216 cm²

So, the total surface area of the four sides of the box is 216 cm². This is the amount of paper needed to line the inside of the box.

Therefore, 180 cm² of paper will be needed to line the inside of the box.