Question

Чему равен объем прямоугольного параллепипеде, если его длина равна5дм 4см, ширина-1дм8см, а высота-12см?

Answer 1

V=a*b*c
1дм8см=18см
V=4*18*12=864 см3-объем прямоугольного параллелепипеда
Ответ: 864 см3

Answer 2

Volume of a Rectangular Parallelepiped

The volume \( V \) of a rectangular parallelepiped can be calculated using the formula:

\[ V = l \times w \times h \]

Where: - \( l \) = length - \( w \) = width - \( h \) = height

Calculation

Given: - Length \( l = 5 \, \text{dm} + 4 \, \text{cm} \) - Width \( w = 1 \, \text{dm} + 8 \, \text{cm} \) - Height \( h = 12 \, \text{cm} \)

Let's convert all measurements to centimeters for consistency: - Length \( l = 5 \, \text{dm} + 4 \, \text{cm} = (5 \times 10) + 4 = 54 \, \text{cm} \) - Width \( w = 1 \, \text{dm} + 8 \, \text{cm} = (1 \times 10) + 8 = 18 \, \text{cm} \) - Height \( h = 12 \, \text{cm} \)

Now, we can calculate the volume: \[ V = 54 \, \text{cm} \times 18 \, \text{cm} \times 12 \, \text{cm} \]

\[ V = 11664 \, \text{cm}^3 \]

The volume of the rectangular parallelepiped is 11664 cubic centimeters.