Question

Длина прямоугольного параллелепипеда 15см она больше ширины в 3 раза, а высота больше ширины на 3см. Найдите площадь его поверхности

Answer 1

15/3=5
5+3=8
площадь поверхности: 2(15*5) + 2(15*8) + 2(5*8) = 150 + 240 + 80 = 470 см^2

Answer 2

Finding the Dimensions of the Rectangular Parallelepiped

The length of the rectangular parallelepiped is given as 15 cm, and it is stated that the length is greater than the width by 3 times, and the height is greater than the width by 3 cm.

Using the given information, we can calculate the dimensions of the rectangular parallelepiped.

Let's denote: - Length as l - Width as w - Height as h

From the given information: - l = 15 cm - l = 3w - h = w + 3

Calculating the Surface Area of the Rectangular Parallelepiped

The surface area (S) of a rectangular parallelepiped can be calculated using the formula: S = 2lw + 2lh + 2wh

Let's substitute the values of l, w, and h into the formula and calculate the surface area.

Using the given dimensions: - l = 15 cm - w = l/3 = 15/3 = 5 cm - h = w + 3 = 5 + 3 = 8 cm

Now, we can calculate the surface area using the formula: S = 2lw + 2lh + 2wh

Substituting the values: S = 2(15)(5) + 2(15)(8) + 2(5)(8)

Calculation

S = 150 + 240 + 80 S = 470

So, the surface area of the rectangular parallelepiped is 470 square centimeters.