Question

Найдите объём прямоугольного параллелепипеда, если площадь основная равна 54квадратных см, а его высота 8см

Answer 1

V=Sосн*H
V=54*8=432см²

Answer 2

Calculating the Volume of a Rectangular Prism

To find the volume of a rectangular prism, we can use the formula:

Volume = Base Area × Height

Given: - Base area (S) = 54 square cm - Height (h) = 8 cm

Using the provided information, we can calculate the volume of the rectangular prism.

Calculation

We can use the formula for the base area of a rectangular prism, which is given by S = a * b, where a and b are the lengths of the sides of the base.

From the provided snippets, we can see that the base area (S) is given by S = 6 * a^2, where a is the length of the side of the base.

Using the given base area (S = 54 cm^2), we can solve for the length of the side of the base (a).

From snippet we have: S = 6 * a^2 54 = 6 * a^2 a^2 = 54 / 6 a^2 = 9 a = √9 a = 3 cm

Now that we have the length of the side of the base (a = 3 cm) and the height (h = 8 cm), we can calculate the volume using the formula:

Volume = Base Area × Height Volume = 3 cm × 8 cm Volume = 24 cubic cm

Answer

Therefore, the volume of the rectangular prism is 24 cubic cm.