Question

из листа картона прямоугольной формы длинной 15 дм и шириной 9 дм отрезали по углам равные квадраты со стороной 3дм .Из оставшийся части сделали открытую коробку . Определите объем коробки . результат запешите в кубических мктрах

Answer 1

V=abc=9*3*3=81дм^3=0.081м^3
a=15-3-3=9
b=9-3-3=3
c=3

Answer 2

Ну смотри.
Узнаем высоту коробки - равна она 3 дм (по условию)
Теперь узнаем ширину объемной коробки. 15-(3+3)= 9 дм
Теперь длину 9-(3+3)= 3 дм.
А объем = длина умноженная на ширину и высоту - 9*3*3= 81 дм в кубе
81 дм в кубе = 0,081 метр в кубе.

Answer 3

Problem Analysis

We are given a rectangular piece of cardboard with dimensions 15 dm (decimeters) by 9 dm. We cut equal squares with a side length of 3 dm from the corners of the cardboard and use the remaining piece to create an open box. We need to determine the volume of the box.

Solution

To find the volume of the box, we first need to find the dimensions of the remaining piece of cardboard after cutting the squares from the corners.

Let's calculate the dimensions of the remaining piece of cardboard:

- Length: The original length of the cardboard is 15 dm. We cut squares with a side length of 3 dm from both ends, so the length of the remaining piece is 15 dm - 2 * 3 dm = 9 dm. - Width: The original width of the cardboard is 9 dm. We cut squares with a side length of 3 dm from both ends, so the width of the remaining piece is 9 dm - 2 * 3 dm = 3 dm.

Now that we have the dimensions of the remaining piece of cardboard, we can calculate the volume of the box.

The volume of a rectangular box is given by the formula:

Volume = Length * Width * Height

In this case, the height of the box is equal to the side length of the squares we cut from the corners, which is 3 dm.

Substituting the values into the formula, we get:

Volume = 9 dm * 3 dm * 3 dm = 81 dm³

Therefore, the volume of the box is 81 cubic decimeters (dm³).

Answer

The volume of the box made from the remaining piece of cardboard is 81 cubic decimeters (dm³).