Question

289. Найдите площадь боковой поверхности прямоугольного параллеле пипеда, у которого площадь полной поверхности равна 240 дм, а площад основания меньше площади боковой поверхности на 60 дм?

Answer 1

Ответ во вложённом файле

Answer 2

Ответ:

S(полн)=S(бок)+2S(осн), 240=S(б)+2(S(б)-60), 240=Sб+2S(б)-120,

240=3S(б)-120, 3S(б)=240+120, S(б)=360/3=120

Answer 3

Finding the Surface Area of a Rectangular Prism

To find the surface area of a rectangular prism, we can use the formula: Surface Area = 2lw + 2lh + 2wh Where: - l is the length of the prism - w is the width of the prism - h is the height of the prism

Given Information

We are given that the total surface area of the rectangular prism is 240 dm² and the area of the base is 60 dm² less than the lateral surface area.

Calculating the Surface Area of the Rectangular Prism

Let's denote the area of the base as B and the lateral surface area as L.

We have the following equations: 1. Total Surface Area (T) = 2lw + 2lh + 2wh = 240 dm² 2. Area of Base (B) = lw = L - 60 dm²

We can use these equations to solve for the dimensions of the rectangular prism.

Solution

Let's solve for the dimensions of the rectangular prism using the given information and the equations above.