The surface area of a cuboid made of two identical cube blocks is reduced by 18 square decimeters. The surface area of the cuboid is () and the volume is（

The surface area of a cuboid made of two identical cube blocks is reduced by 18 square decimeters. The surface area of the cuboid is () and the volume is（

The surface area of a cuboid is reduced by 18 square decimeters after two identical cube blocks are put together. The cuboid has a surface area of (90 square decimeters) and a volume of (54 cubic decimeters)
Reduced surface area = two faces of a square
So the side length of the square is 3
Surface area of cube = 54, surface area of cuboid = 54 × 2-18 = 90
Volume = 33 × 2 = 54 cubic decimeter
What do you don't understand

Put two same cubes together into a cuboid, the surface area is reduced by 18 square decimeters. What is the volume of a cube?

The reduction is the area of the two faces
So the area of each surface is 18 / 2 = 9 square decimeters
Therefore, the side length of the cube is √ 9 = 3 decimeters
So the volume of each cube is 3 * 3 * 3 = 27 cubic decimeters
I hope it can help the owner,

A cube area of 18 square decimeters, cut it into two identical rectangular, the surface area of the cuboid

If 18 △ 6 = 3 square decimeters, the area of each surface of the cube is 3 square decimeters
Cut into two cuboids and add two faces
18 + 3 × 2 = 24 square decimeters
A: the surface area of this cuboid is 24 square decimeters

A cuboid wood block, cut from the top of the cuboid 5 cm high, the rest is a cube, the surface area reduced by 120 square centimeters______ Cubic centimeter

The original cuboid's length and width are: 120 △ 4 △ 5, = 30 △ 5, = 6 (CM); the original cuboid's height is: 6 + 5 = 11 (CM); the original cuboid's volume is: 6 × 6 × 11 = 396 (cm3); answer: the original cuboid's volume is 396 cm3. So the answer is: 396

The perimeter of a rectangle is 120cm, and the ratio of length to width is 7:5. The area of the rectangle is______ Square centimeter

7 + 5 = 12 (copies), 120 △ 2 × 712 = 60 × 712 = 35 (CM); 120 △ 2 × 512 = 60 × 512 = 25 (CM); 35 × 25 = 875 (square cm); answer: the area of this rectangle is 875 square cm. So the answer is: 875

If the ratio of length to width of two rectangles is equal, we call them the same. It is known that the length and width of a rectangle are 10cm and 6cm respectively
(1) If the length of another rectangle is 5cm and it has the same shape as this rectangle, what is its width?
(2) After cutting out the length and width of a rectangle with a length of 10cm and a width of 6cm by the same length, is the new rectangle the same as its shape? Give the reason

Obviously the first one is 3cm
The second one must be different. Cut off a square with a side length of 6cm and leave a rectangle with a length of 6cm and a width of 4cm. The ratio of length to width is 3:2. The original 5:3 is rectangular, but the shape will be different if the ratio of length to width is different

If the diagonal of a rectangle is 10 cm long and one side is 6 cm long, its perimeter is______ The area is______ ．

In RT △ bad, BD = 10cm. According to Pythagorean theorem, ad = 102 − 62 = 8 (CM), ad = BC = 8cm, the perimeter of rectangle is ab + BC + CD + ad = 6cm + 8cm + 6cm + 8cm = 28cm, ab × BC = 6cm × 8cm = 48CM, so the answer is: 28cm, 48CM

If the ratio of length to width of two rectangles is equal, we call them similar figures. It is known that the length and width of a rectangle are 10cm and 6cm respectively
Given that the ratio of length to width of two rectangles is equal, we call them similar figures. We know that the length and width of a rectangle are respectively 10 cm and 6 cm. After cutting out the length and width of the rectangle by the same length, will the new rectangle be similar to it? Please explain the reason!

Let the cut length be X
10：6=（10-x）：（6-x）
We get x = 0
So it is impossible for the new rectangle to be similar to the original one

The two right sides of a right triangle are 6 cm and 8 cm respectively, and the hypotenuse is 10 cm. Then the height of the hypotenuse is () cm
A. 2.4cm B. 4.8cm C. 9.6cm D. 1.2cm

Let the height of its hypotenuse be x cm, 10x ／ 2 = 6 × 8 ／ 2, & nbsp; & nbsp; & nbsp; 10x = 48, & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; X = 4.8; answer: the height of its hypotenuse is 4.8 cm, so choose B

The two right sides of a right triangle are 6 cm and 8 cm respectively, and the hypotenuse is 10 cm. Then the height of the hypotenuse is () cm
A. 2.4cm B. 4.8cm C. 9.6cm D. 1.2cm

Let the height of its hypotenuse be x cm, 10x ／ 2 = 6 × 8 ／ 2, & nbsp; & nbsp; & nbsp; 10x = 48, & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; X = 4.8; answer: the height of its hypotenuse is 4.8 cm, so choose B