Question

Чему равна площадь поверхности красного строительного кирпича, если ширина его составляет 24 см, высота в 4 раза меньше ширины, а длина на 1 дм больше, чем высота и ширина вместе?

Answer 1

Ответ:

Высота = 24 + 4 = 28 см

Длина= 24+28+10 = 62 см

Площадь = 24 * 62 = 1488 см²

Answer 2

Calculation of the Surface Area of a Red Brick

To calculate the surface area of a red brick, we need to consider its dimensions. According to the given information:

- Width: 24 cm - Height: 4 times smaller than the width - Length: 1 dm (10 cm) larger than the sum of the height and width

Let's calculate the surface area step by step.

1. Calculate the height: - The height is 4 times smaller than the width, so the height is 24 cm / 4 = 6 cm.

2. Calculate the length: - The length is 1 dm (10 cm) larger than the sum of the height and width. - The sum of the height and width is 6 cm + 24 cm = 30 cm. - Therefore, the length is 30 cm + 10 cm = 40 cm.

3. Calculate the surface area: - A brick has six faces, and each face contributes to the total surface area. - The surface area of a rectangular face is equal to the length multiplied by the width. - The surface area of the brick is the sum of the surface areas of all six faces.

Let's calculate the surface area using the given dimensions:

- Face 1: Length x Width = 40 cm x 24 cm = 960 cm² - Face 2: Length x Width = 40 cm x 24 cm = 960 cm² - Face 3: Length x Height = 40 cm x 6 cm = 240 cm² - Face 4: Length x Height = 40 cm x 6 cm = 240 cm² - Face 5: Width x Height = 24 cm x 6 cm = 144 cm² - Face 6: Width x Height = 24 cm x 6 cm = 144 cm²

The total surface area of the red brick is the sum of all the face areas:

960 cm² + 960 cm² + 240 cm² + 240 cm² + 144 cm² + 144 cm² = 2,688 cm².

Therefore, the surface area of the red brick is 2,688 cm².