A cuboid with a square bottom has a surface area of 126 square centimeters, which is just cut into three cubes of equal volume, and the surface area is increased______ Square centimeter, the volume of the original cuboid is______ Cubic centimeter

A cuboid with a square bottom has a surface area of 126 square centimeters, which is just cut into three cubes of equal volume, and the surface area is increased______ Square centimeter, the volume of the original cuboid is______ Cubic centimeter

According to the meaning of the title, the area of the four sides of the cuboid is the same, and it is three times of the area of the cross section. The surface area is the sum of the areas of 4 × 3 + 2 = 14 small squares, so the area of the cross section is 126 △ 14 = 9 square centimeters. Because 3 × 3 = 9, the side length of the cross section, that is, the width and height of the cuboid is 3 centimeters, then the length of the cuboid is 3 × 3 = 9 (centimeters), so it is increased The surface area is: 9 × 4 = 36 square centimeter; the volume of the original cuboid is: 9 × 9 = 81 (cubic centimeter); answer: the surface area is increased by 36 square centimeter, and the volume of the original cuboid is 81 cubic centimeter

Triangle divided by square = 12 15, triangle plus square = 353, triangle =? Square =?

Triangle = x, square = y
x=12y+15 (i)
x+y=353 (ii)
(i) Substituting (II)
=>13y=338
=》y=26
=>x=327
So the triangle is 327 and the square is 26

1. It is known that a square divided by 5 is equal to a triangle, and a square plus a triangle is equal to 18 / 19?
2. It is known that circle divided by 6 = pentagram, circle minus Pentagram = 10 / 81. Then circle =? Pentagram =?

Who wrote the question? Let the square be a and the triangle be B,
Then a = 5b, a + B = 18 / 19, the solution is a = 15 / 19, B = 3 / 19, that is, square equals 15 / 19, triangle equals 3 / 19
2. The same method as in 1
A = 6B, A-B = 10 / 81, a = 12 / 81, B = 2 / 81