A rectangular parallelepiped and a cube have equal surface areas. The height of the parallelepiped is 4 cm

| March 10, 2021 | education

A rectangular parallelepiped and a cube have equal surface areas. The height of the parallelepiped is 4 cm, which is 3 times less than its length and 5 cm less than its width. Find the edge of the cube.

First, we need to find all the sides of the box.

If its height is 4 cm, and its length is 3 times longer, then to find the length, we need.

4 * 3 = 12.

The length is 5 cm less than the width, which means to find the width, we need:

12 + 5 = 17.

Now that we know all the sides, we will find the surface area of the rectangular parallelepiped.

4 * 12 = 48;

48 * 2 = 96:

4 * 17 = 68;

68 * 2 = 136;

96 + 136 = 232.

Now that we know the surface area of the parallelepiped, we can calculate the edge of the cube.

232: 4 = 58;

root of 58 = 7.615.

Answer: The edge of the cube is 7.615 cm.



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