Question

Ширина прямокутного паралелепіпеда дорівнює 5,6 см, що становить 7/15 його довжини, а висотастановить 40% довжини , обчислити об"єм паралелепіпеда

Answer 1

1)5,6*15/7=12(см)довжина
2)12*0.4=4.8(см)висота
3)5.6*12*4.8=276.48(см3)об''єм

Answer 2

I can help you with your math problem. Here is a detailed solution:

Let $a$ be the length, $b$ be the width, and $h$ be the height of the rectangular parallelepiped. Then, we have the following equations:

$$b = 5.6 \text{ cm}$$ $$b = \frac{7}{15}a$$ $$h = 0.4a$$

To find the volume of the parallelepiped, we need to find $a$ first. We can do this by substituting $b$ in the second equation:

$$5.6 = \frac{7}{15}a$$ $$a = \frac{15}{7} \times 5.6$$ $$a = 12 \text{ cm}$$

Now, we can find $h$ by substituting $a$ in the third equation:

$$h = 0.4 \times 12$$ $$h = 4.8 \text{ cm}$$

Finally, we can find the volume by multiplying $a$, $b$, and $h$:

$$V = a \times b \times h$$ $$V = 12 \times 5.6 \times 4.8$$ $$V = 322.56 \text{ cm}^3$$

Therefore, the volume of the parallelepiped is $322.56 \text{ cm}^3$.

I hope this helps. If you want to learn more about the formula for the volume of a rectangular parallelepiped, you can check out this [online calculator](https://ua.onlinemschool.com/math/assistance/figures_volume/parallelepiped1/).