Question

СРОЧНО!!!!Прямоугольный брикет хозяйственного мыла 140 раз использовали для мытья рук, в результате чего все его размеры (длина, ширина, высота) уменьшились в 2 раза. Сколько раз удастся вымыть руки оставшимся кусочком? (На каждое мытьё рук тратится одно и то же количество мыла.)

Answer 1

прямоугольный кусок мыла имеет объем V=abc,

где а,b.c  ширина, высота и длина.

По условию все размеры уменьшились в 2 раза

то есть обмылок имеет объем V₁= (a/2)*(b/2)*(c/2) = abc/8

то есть от кусочка осталась 1/8 часть, значит израсходовали 8/8 -1/8 =7/8

(7/8)= 140 стирок

значит целое мыло рассчитано на  140:7*8= 160 стирок

тогда остатка хватит ещё на 160-140 =20 стирок .

Answer 2

Problem Analysis

We are given a rectangular bar of soap that has been used 140 times to wash hands. As a result, the dimensions of the soap bar (length, width, height) have decreased by half. We need to determine how many more times we can wash our hands with the remaining piece of soap.

Solution

To solve this problem, we need to calculate the volume of the original soap bar and the volume of the remaining piece of soap. Then, we can divide the volume of the remaining piece by the volume used per hand wash to find the number of times we can wash our hands.

Let's assume the original dimensions of the soap bar were: - Length (L) - Width (W) - Height (H)

The volume of the original soap bar can be calculated as: Volume_original = L * W * H

After being used 140 times, the dimensions of the soap bar have decreased by half. Therefore, the new dimensions of the remaining piece of soap are: - Length (L_new) = L / 2 - Width (W_new) = W / 2 - Height (H_new) = H / 2

The volume of the remaining piece of soap can be calculated as: Volume_remaining = L_new * W_new * H_new

To find the number of times we can wash our hands with the remaining piece of soap, we need to divide the volume of the remaining piece by the volume used per hand wash. Since the same amount of soap is used for each hand wash, the volume used per hand wash is the same as the volume of the original soap bar.

Let's calculate the number of times we can wash our hands with the remaining piece of soap: Number_of_washes = Volume_remaining / Volume_original

Calculation

Now, let's calculate the number of times we can wash our hands with the remaining piece of soap.

Given: - The original soap bar was used 140 times. - The dimensions of the soap bar decreased by half.

We can assume any values for the original dimensions of the soap bar. Let's assume: - Length (L) = 10 cm - Width (W) = 5 cm - Height (H) = 2 cm

Using these values, we can calculate the volume of the original soap bar: Volume_original = L * W * H = 10 cm * 5 cm * 2 cm = 100 cm^3

The new dimensions of the remaining piece of soap are: - Length (L_new) = L / 2 = 10 cm / 2 = 5 cm - Width (W_new) = W / 2 = 5 cm / 2 = 2.5 cm - Height (H_new) = H / 2 = 2 cm / 2 = 1 cm

Using these new dimensions, we can calculate the volume of the remaining piece of soap: Volume_remaining = L_new * W_new * H_new = 5 cm * 2.5 cm * 1 cm = 12.5 cm^3

To find the number of times we can wash our hands with the remaining piece of soap, we divide the volume of the remaining piece by the volume used per hand wash: Number_of_washes = Volume_remaining / Volume_original = 12.5 cm^3 / 100 cm^3 = 0.125

Therefore, we can wash our hands approximately 0.125 times with the remaining piece of soap.

Please note that the actual number of times we can wash our hands may vary depending on the actual dimensions of the soap bar and the accuracy of the measurements.

Answer

Based on the given information and calculations, we can wash our hands approximately 0.125 times with the remaining piece of soap.