A 4.2-decimeter-long cuboid is sawed into four sections on average, and the surface area is 150 square centimeters more than the original. How many cubic centimeters is the original volume of this section of wood

A 4.2-decimeter-long cuboid is sawed into four sections on average, and the surface area is 150 square centimeters more than the original. How many cubic centimeters is the original volume of this section of wood

Saw 4 sections, saw 3 times, more than 6 faces
4.2 decimeters = 42 cm
Volume: 150 △ 6x42 = 1050 cm3

Saw a 2-meter-long cuboid wood into three sections, the surface area increased by 160 square centimeters, how many cubic centimeters is the volume of the original cuboid?

2 m = 200 cm
When the cuboid wood is sawed into three sections, the surface area increases the bottom area of four cuboids
So the area of the bottom of the cuboid is 160 / 4 = 40 square centimeters
The volume of the original cuboid is 40 * 200 = 8000 cubic centimeters

Cut the 1.5-meter-long cuboid wood into two sections and increase the surface area by 96 square centimeters. What is the volume of the original wood?

After sawing into two sections, the increased surface area is the sum of the areas of two bottom surfaces, then the area of one bottom surface: S = 96 / 2 = 48 (square centimeter)
1.5 m = 150 cm
Then the cuboid volume: v = sh = 48 * 150 = 7200 (cubic centimeter) = 7.2 (cubic meter)

Saw a 2.4-meter-long cuboid wood into five sections, the surface area increased by 96 square centimeters. What was the volume of the original cuboid wood?

According to the five paragraphs, it has been done four times and eight cross sections have been added. The area of each cross section is 96 △ 8 = 12 bisection cm
The original volume is: 12 × 240 = 2880 cubic centimeter