Find the sum of the areas of all the faces of a rectangular parallelepiped if its volume is 720cm3

Find the sum of the areas of all the faces of a rectangular parallelepiped if its volume is 720cm3, and two edges are 15cm and 24cm.

Let’s first find the value of the third edge of the given shape.

To do this, we divide its volume by the product of its two known edges.

720: (15 x 24) = 720: 360 = 2 cm.

In order to find the area of ​​the entire surface of a given figure, it is necessary to find the areas of its sides by multiplying the values ​​of their sides by each other.

Find the area of ​​the first rectangular shape.

To do this, multiply the value of one side of it 15 cm by the value of the other side of it 24 cm.

15 x 24 = 360 cm².

Find the area of ​​the second rectangular shape.

To do this, multiply the value of one side of it 15 cm by the value of the other side of it 2 cm.

15 x 2 = 30 cm².

Find the area of ​​the third rectangular shape.

To do this, multiply the value of one side of it 24 cm by the value of the other side of it 2 cm.

24 x 2 = 48 cm².

Find the total area of ​​the entire surface of a given figure.

To do this, we double the sum of the values ​​of the areas of its sides.

2 x (360 + 30 + 48) = 2 x 438 = 876 cm².

Answer: The total area of ​​a given figure is 876 cm².