Find the volume of the original box. Find what is the volume of the original box

There is a cuboid with a square base and its surface area is 190 square centimeters, and if it is cut into two cuboids from a plane parallel to the bottom surface, the sum of the surface areas of the two cuboids is 240 square centimeters. Find the volume of the original box.

Base area (240-190) 2 = 25 square centimeters.

So the square side length is 5 cm.

High ((190-25 2) (5 4).

7 cm. Volume 25 7 = 175 cubic centimeters.

If it is cut into two cuboids from a plane parallel to the bottom surface, the two corners will increase the surface area of the original cuboid by the area of two squares.

So: the base area of the cuboid = (240-190) 2 = 25 square centimeters.

Bottom side length = 25 5 = 5 cm.

The side area of the original cuboid = (190-25x2) 4 = 35 cm.

The height of the original cuboid = 35 5 = 7 cm.

The volume of the original cuboid = 25x7 = 175 cubic centimeters.

One. Cuboid.

Reduce the height by 2 cm (the bottom is unchanged) to get one.

Cube. The base of the original cuboid is a square.

Let the side length of the bottom be x, and the height of the cuboid is h

The surface area of the cube is reduced by 24

Cm. The area is reduced to 4 small sides.

2*x*4=24

Then the height of the x=3 original cuboid is h=x+2=5

then the volume is 3*3*5=45

4x（x+2）

It is the area of the four sides of the original box. Find x

The volume of that cuboid =

Cubic centimetre. You can't go wrong, 2x +24

2x, n haven't done math for a long time; +4x（x+2）

6x is the surface area of a square; Is the base area of the original cuboid 45 cubic centimeters?

A cuboid decreases its height by 2 cm (the base remains the same) to give a cube, indicating that the length and width of the cuboid are the same.

Set it to x first, and the length, width, and height of the cube will be x.

Find the surface area. 6x²

Solution: A 2-meter-long cuboid timber is sawed into two sections of 1 meter, and the surface area is increased by two bottom surfaces, and the sum of the areas of the two surfaces is 2 square decimeters, then the bottom area of one surface is 1 square decimeter.

This requires the original length of the wood to be 2 meters = 20 decimeters, and the bottom area is 1 square decimeter, then the volume = bottom area height = 1 20 = 20 (cubic decimeters).

Analysis: It can be seen from the fact that the rest of the part is a cubeThe length of the box = the width of the box

Set the equation to solve.

Solution: Let the length and width of the cuboid be x, and the height be y

x=y-4①

4x·2+4x·2=96②

Solution: x=6, bidic attack y=10

Box volume =Length, width and height360cm³

A: The volume of the original cuboid comic is 360cm.

Box volume = length x width x height.

v=abh=sh The length, width, and height of the box are a, b, and h, respectively

Compose. 1) Faces of a box: The planear polygons that enclose a closed geometry are called the faces of a polyhedron.

The box has 6 faces. Each of these faces is rectangular (there may be 2 opposite faces that are squares), and there are 3 pairs of opposite faces. Opposite faces have the same shape and equal area.

2) Edges of the box: The common edges of the two faces on the polyhedron are called the edges of the polyhedron. The box has 12 edges, of which there are 3 opposing edges, and each group of 4 opposite edges is parallel to each other and of equal length (there may be 8 edges of equal length).

3) The vertices of the cuboid: The cuboid has 8 coincidences and vertices, and the three edges that intersect at a vertex are called the cuboid Xiaokai staring length, width, and height. In general, the longer edge in the bottom surface is called long, the shorter edge is called wide, and the edge perpendicular to the bottom surface is called high.

The answer is 180

The largest rectangle in the circle is a square, and the diameter of the circle is known to be 6cm, which is the diagonal of the square.

Let the length of the square be a, a*a+a*a=6*6 (Pythagorean theorem), and get a*a=18

The volume of the cube = a*a*10=18*10=180

Let the bottom surface be square, and the volume will be the largest.

The diameter is equal to the diagonal of the square, so the side length of the square is 3 2, v=(32) 10=180 cubic centimeters.

The bottom surface of the box is a cylinder with a diagonal line of the rectangle and a base diameter of 6 cm.

There are bottom side lengths a, b; then 36=a2+b2 2ab ab 18 when ab=18 is maximum.

So the maximum volume is 18*10=180 cubic centimeters.

The volume is 250 cubic centimeters.

Cut the circle into a square with a side length of 5 cm (calculation method: the area of the circle is 9*pi, and the root number is rounded), so the volume of the cuboid is 5*5*10=250.

Because the area of the square in the circle is the largest, draw two diameters perpendicular to each other in the circle (the diameter length is 2*3=6cm), connect the intersection of the two diameters and the edge of the circle to form a square, and find the area of the square (which can also be regarded as a triangle) to get 18 square centimeters, 18*10=180, and the volume of the cuboid is 180 cubic centimeters.

I would like to adopt!!

3x6x10=180

To be as large as possible, then the circle must be divided into squares, with a diagonal length of 6 and an area of 3x6

Then, the length, width, and height of this long spike forest square are 8 centimeters, and the acres of Chaizhou are 7 centimeters and 3 centimeters.

The volume is: 8 7 3 = 168 (cubic centimeters).

The area reduction is the four sides of the cuboid that are more than the cube, so the area of each side is 60 4 = 15, and since the height is 5, the length of each side is 15 5 = 3.

Then the volume of the original cuboid is 3*3*8=72

60÷4=15

3 3 (3 5) = 72 cubic centimeters.

If you don't understand, ask again.

A cuboid decreases its height by 2 cm (the base remains the same), and when you get a cube, the base of the original cuboid is a square.

Let the side length of the bottom be x, and the height of the cuboid is h

The surface area of the cube is reduced by 24 square centimeters, and the area reduced is 4 small sides 2*x*4=24

Then the height of the x=3 original cuboid is h=x+2=5

then the volume is 3*3*5=45

It's not 45 cubic centimeters.

A cuboid decreases its height by 2 centimeters (the base does not change) to get a cube, which means that the length and width of the cuboid are the same Set it to x first, then the length, width, and height of the cube are all x.

Find the surface area 6x +24 = 2x +4x(x+2) 6x is the surface area of the square, 2x is the base area of the original cuboid, 4x(x+2) is the area of the 4 sides of the original cuboid Find x = 3 The volume of the cuboid = 3*3*(3+2)=45 cubic centimeters should not be wrong, n haven't done math for a long time, I don't know what grade you are studying.

Solution: According to the problem, the length of the original cuboid = width, and height = length + 2, let the length of the original cuboid be x, then the width is x, and the height is (x+2) According to the title, the surface area of the original cuboid = 2 length height + 2 length and width + 2 width height = 2·x·(x+2)+2·x +2·x·(x+2).

4·x·（x+2）+2x²

Surface area of the cube = 6x

Then: 4·x·(x+2)+2x=6x+24 solves: x=3

Then the length of the original cuboid is 3cm, the width is 3cm, and the height is 5cm, volume = length, width, height = 3 3 5 = 45cm