The height of the rectangular parallelepiped is 18cm. It is equal to the difference between the length
| March 5, 2021 | education
The height of the rectangular parallelepiped is 18cm. It is equal to the difference between the length and width of the parallelepiped, and the length is 4 times the width. Find the area of the side faces.
Let’s denote the width of the box as x. Then the length will be 4 * x, and their difference will be 18 cm. Let’s make an equation.
4 * x – x = 18 cm.
3 * x = 18 cm.
x = 3 cm.
The width is exactly 3 cm, we find the length.
a = 3 cm * 4 = 12 cm.
Find the area of the side faces of the rectangular parallelepiped.
S = 2 * (18 cm * 3 cm + 18 cm * 12 cm) = 2 * (54 cm² + 216 cm²) = 540 cm².
Answer: the area of the side faces is 540 cm².
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