A rectangle with a square bottom surface, if the height is reduced by 2 cm, then the surface area will be reduced by 64 square cm. How much cubic cm is the volume reduced? Every step is best written clearly

A rectangle with a square bottom surface, if the height is reduced by 2 cm, then the surface area will be reduced by 64 square cm. How much cubic cm is the volume reduced? Every step is best written clearly


If the height is reduced by 2 cm, the surface area will be reduced by 64 square cm
64 △ 2 = 32 cm (32 cm is the perimeter of a square)
32 △ 4 = 8 cm (8 cm is the side length of a square)
8x8x2 = 128 CC (reduced volume)



The bottom edge of a rectangle is a square with a side length of 7 cm. Its side area is 500 square meters. How many cubic centimeters is the volume of this rectangle
fast


Height = 500 △ 4 △ 7 = 125 / 7 cm
Volume = 125 / 7 × 7 × 7 = 875 CC



The bottom of a cuboid is a square with a circumference of 16 decimeters. Its surface area is 96 square decimeters. What is the volume of the cuboid?


The length of the bottom side is 16 △ 4 = 4 (DM)
Its height is (96-4 × 4 × 2) / (4 × 4) = 4 (DM)
Its volume is: 4 × 4 × 4 = 64 (cubic decimeter)



The square in the picture is a pool, and the rest is a lawn. It is known that the square has an area of 300 square meters. How many square meters is the lawn?
This is a circle. There is a square in the lower left corner. The square is the pool. The other three fourths of the square is the lawn. One corner of the square has exceeded the circle. The area of the square is 300, and the area of the remaining part is calculated
But the square has an area of 300 instead of a side length of 300


I lost my Xie,
Because the side length of a square is the radius of a circle
Square area = side length × side length = radius × radius = 300 square meters, multiply by 3.14 is not the circle area!
The area of the circle is 3.14 × 300 = 942 square meters
Lawn area: 942 × 3 / 4 = 706.5 (M2)



As shown in the figure, the square part is a pool, and the rest is lawn. The square area is 300m2. What is the area of lawn?


The area of the circle is: 3.14 × 300 = 942 (square meters), the area of the blank part in the circle is: 14 × 942 = 235.5 (square meters), the area of the lawn part is: 942-235.5 = 706.5 (square meters). Answer: the area of the lawn part is 706.5 square meters



Square flower bed area is 225 square meters, how much is its side length





The area of a square flower bed is 225 square meters. What is the side length?


15 meters



In the middle of the figure below is a square flower bed with a side length of 18m. There is a 2m path around the flower bed. How many square meters is the area of the path


"There is a 2 m path around the flower bed" means that the width is 2 M. if so, the formula is as follows:
(18/4+2*2)*
(18/4+2*2)*
=72.25



A circle and a rectangle have the same area, the radius of the circle is 5cm, the width of the rectangle is 4cm, and the length is () cm


Divide the area of a circle by the width of a rectangle
5*5π/4=25/4*π



The perimeter of a rectangle and a circle are equal. It is known that the length of a rectangle is 10 cm and the width is 5 cm. What is the area of a circle?


2 r = (10 + 5) * 2
R = 15 / pie
Area = square of pie * r = 225