A cuboid becomes a cube when its height increases by 4 cm, and its surface area increases by 80 square cm. What is the cuboid's volume in cubic cm? There should be formulas

A cuboid becomes a cube when its height increases by 4 cm, and its surface area increases by 80 square cm. What is the cuboid's volume in cubic cm? There should be formulas


80 △ 4 = 20 square centimeter
20 △ 4 = 5cm, which is the edge length of the cube and the side length of the bottom of the cuboid
5-4 = height of 1 cm cuboid
5 × 5 × 1 = 25 cubic centimeter volume



1. The total length of a cuboid is 80 cm, the length is 10 cm, and the width is 6 cm. Its volume is () cubic cm, and its surface area is () square cm?
2. Two cubes form a cuboid with a surface area of () and a volume of(


H = 80 △ 4-10-6 = 4cm
Volume = 10 × 6 × 4 = 240 CC
Surface area = 2 × (10 × 6 + 10 × 4 + 6 × 4) = 248 square centimeters
Two cubes to form a cuboid, surface area (reduced), volume (unchanged)



As shown in the figure, it is known that the image of the inverse scale function y = K / X (K ≠ 0) passes through the point (1 / 2,8), and the line y = - x + B passes through the point Q (4, m) on the image of the inverse scale function
It is known that the image of the inverse scale function y = K / X (K ≠ 0) passes through the point (1 / 2,8), and the line y = - x + B passes through the point Q (4, m) on the image of the inverse scale function. Let the line intersect the X axis and the Y axis at two points a and B respectively, and the other intersection point with the image of the inverse scale function be p. connect OP and OQ, and calculate the area of △ OPQ


Take the point (1 / 2,8) and substitute y = K / X (K ≠ 0) to get k = 4, and then take the point Q (4, m) and substitute y = 4 / X to get m = = 1
The point Q (4,1) is replaced by a straight line y = - x + B, and B = 5 is obtained
Y = - x + 5, let x = 0, y = 5, B (0, 5)
Let y = 0, x = 5, a (5, 0)
I hope I can help you!