Question

Найдите объём и площадь наружной поверхности бака без крышки, высота 80 см, длина 90 см, ширина 70 см. Сколько понадобиться краски, чтобы покрасить этот бак снаружи и изнутри, если на покраску 1 дм.кв нужно 2 гр краски? Сколько литров бензина можно влить в этот бак?

Answer 1

V=abc=504000см³
Площадь наружной поверхности а*б+2bc+2ac=6300+2*5600+2*7200=31900см²
Общая площадь поверхности снаружи и изнутри равна
31900*2=63800см²=638дм²
638*2=1276гр краски надо
V=504000см³=504литра(бензина можно влить в бак)

Answer 2

Calculation of Volume and Surface Area of the Tank

To find the volume and surface area of the tank without the lid, we can use the given dimensions: height = 80 cm, length = 90 cm, and width = 70 cm.

The volume of the tank can be calculated using the formula: volume = length * width * height. Substituting the given values, we get:

Volume = 90 cm * 70 cm * 80 cm = 504,000 cm³.

The surface area of the tank can be calculated by adding the areas of all its faces. The tank has six faces: top, bottom, front, back, left, and right.

The area of each face can be calculated as follows: - Top and bottom faces: length * width - Front and back faces: length * height - Left and right faces: width * height

Substituting the given values, we get:

Surface Area = 2 * (90 cm * 70 cm) + 2 * (90 cm * 80 cm) + 2 * (70 cm * 80 cm) = 15,200 cm².

Calculation of Paint Required

To calculate the amount of paint required to paint the tank both inside and outside, we need to know the paint consumption rate per square decimeter (dm²) and the conversion factor from grams (g) to liters (L).

Given that 1 dm² requires 2 g of paint, we can calculate the total amount of paint required as follows:

Paint Required = Surface Area (in dm²) * Paint Consumption Rate (in g/dm²)

Converting the surface area from cm² to dm² (1 dm² = 100 cm²), we get:

Surface Area (in dm²) = 15,200 cm² / 100 = 152 dm².

Substituting the given paint consumption rate, we get:

Paint Required = 152 dm² * 2 g/dm² = 304 g.

Calculation of Fuel Capacity

To calculate the fuel capacity of the tank, we need to know the volume of the tank in liters.

Converting the volume from cm³ to liters (1 L = 1000 cm³), we get:

Volume (in liters) = 504,000 cm³ / 1000 = 504 L.

Therefore, the tank can hold 504 liters of fuel.

Please note that these calculations assume the tank is a rectangular prism shape without any internal compartments or irregularities.

Let me know if there's anything else I can help you with!