If the height of a cuboid is increased by three centimeters, it will become a cube, and the surface area will be increased by 84 square centimeters. What is the volume of the original cuboid

If the height of a cuboid is increased by three centimeters, it will become a cube, and the surface area will be increased by 84 square centimeters. What is the volume of the original cuboid

The perimeter of the bottom surface is 84 △ 3 = 28cm
So the bottom side length is 28 △ 4 = 7 cm
The original height is 7-3 = 4cm
7×7×4=196
A: the volume of this cuboid is 196 cubic centimeters

If the height of a cuboid is increased by 3 cm, it will become a cube. This is an increase of 84 square cm in surface area. The volume of the original cuboid is
How many square centimeters? Please explain the solution,

What is the perimeter of the base of a cube
84 △ 3 = 28 (CM)
What is the edge length (that is, the length and width) of a cube
28 △ 4 = 7 (CM)
What is the height of a cuboid
7-3 = 4 (CM)
The original cuboid volume is
7 × 7 × 4 = 196 (cm3)

If the height of a cuboid is increased by 3 cm, it will become a cube. This is the increase of surface area by 84 square cm. What is the original volume

The side length of the cube is: 84 △ 3 △ 4 = 7 (CM)
The original volume is: 7x7x (7-3) = 49 * 4 = 196 (cubic centimeter)