A cuboid has the same width and height. If the length is removed by 2.5cm, it will become a cube with a surface area of 150 square centimeters. What is the volume of the original cuboid? So what's the volume of the cuboid

A cuboid has the same width and height. If the length is removed by 2.5cm, it will become a cube with a surface area of 150 square centimeters. What is the volume of the original cuboid? So what's the volume of the cuboid


Side length of cube = 150 △ 4 △ 2.5 = 15 cm
Height of original cuboid = 15 + 2.5 = 17.5cm
Original volume = 15 × 15 × 17.5 = 3937.5 cm3



Two cuboids, 5cm long, 4cm wide and 3cm high, can be assembled______ A cuboid with different surface area, the smallest surface area is______ Square centimeter


The largest surface is: 5 × 4 = 20 (square centimeter), that is, the surface area of the upper and lower surfaces is the smallest; (5 × 4 + 5 × 3 + 4 × 3) × 2 × 2-20 × 2, = 188-40, = 148 (cubic centimeter); so the answer is: 3148



Cut a cuboid of 7cm, 6cm and 5cm in length, width and height into two cuboids. What is the minimum sum of the surface area in square cm?


The smallest side = 6X5 = 30cm 2, two more sections
Original area = (7x6 + 7x5 + 6X5) x2 = (42 + 35 + 30) x2 = 214 square centimeters
214+30+30=274



Divide a circle into several parts evenly and form an approximate rectangle. The circumference of the rectangle is 41.4 decimeters, and the area of the circle is () square decimeters
The circumference of a circle is () decimeters


Divide a circle into several parts evenly, and form an approximate rectangle. The circumference of the rectangle is two more radii than that of the circle
therefore
Circumference of rectangle
=Circumference of circle + 2 radii
=3.14 × radius × 2 + radius × 2
=(6.28 + 2) × radius
obtain
Radius = rectangle perimeter △ 6.28 + 2 = 41.4 △ 8.28 = 5 (decimeter)
Area of circle = 3.14 × 5 & # 178; = 78.5 (square decimeter)
Circumference of circle = 3.14 × 5 × 2 = 31.4 (decimeter)