A cuboid wood block, cut 5 cm from above, becomes a cube, its surface area is reduced by 160 square cm. Calculate the volume of the original cuboid

A cuboid wood block, cut 5 cm from above, becomes a cube, its surface area is reduced by 160 square cm. Calculate the volume of the original cuboid


The original cuboid's length and width are 160 / 4 / 5, = 40 / 5, = 8 (CM); the original cuboid's height is 8 + 5 = 13 (CM); the original cuboid's volume is 8 × 8 × 13 = 832 (cm3); a: the original cuboid's volume is 832 cm3



A cuboid glass fish tank without cover, measured from the inside, is 60cm long, 40cm wide and 50cm high. It is known that the glass is 3cm thick. What is the volume of the fish tank?


The volume of this fish tank is: (60 + 3 × 2) × (40 + 3 × 2) × (50 + 3), = 66 × 46 × 53, = 160908 (cubic centimeter); a: the volume of the fish tank is 160908 cubic centimeter



If the height of a cube is reduced by 5cm, then the surface area is reduced by 120 square centimeters, and it becomes a cube. Find the volume of the cuboid


Bottom length = 120 △ 5 △ 4 = 6cm
Original height = 6 + 5 = 11cm
Volume = 6 × 6 × 11 = 396 CC



After two cubes are put together into a cuboid, the surface area is reduced by 162 square centimeters, and the volume of the cuboid is calculated?


162÷2=81=9×9
9 × 9 × (9 + 9) = 1458 cm3



The area of a rectangle is equal to that of a square with a side length of 1.2 cm. If the length of a rectangle is 1.6 cm, how many cm is its width?


1.2 × 1.2 △ 1.6, = 1.44 △ 1.6, = 0.9 (CM); a: its width is 0.9 cm



Given that the side length of a square is x, if the side length is increased by 5, write the functional expression of area y and X


According to the meaning of the title and known, we get: y = (x + 5) ^ 2
That is: y = x ^ 2 + 10x + 25



The side length of a square is 5. If the side length increases X and the area increases y, find the function expression between Y and X


From the meaning of the question: y = (x + 5) 2-52 = x2 + 10x. So the function expression between Y and X is y = x2 + 10x



The side length of a square is 5. If the side length increases X and the area increases y, find the function expression between Y and X


From the meaning of the question: y = (x + 5) 2-52 = x2 + 10x. So the function expression between Y and X is y = x2 + 10x



Triangle AEB, AE = be, D and C are the points on AE and EB respectively and de = CE. Is quadrilateral ABCD isosceles trapezoid? Why?


Yes, according to the median line theorem, CD and ab are parallel. Because Abe is a triangle, ad and BC are not parallel. According to the definition of trapezoid, it is trapezoid. Because AE = be, de = CE, ad = BC. So the quadrilateral ABCD is isosceles trapezoid



As shown in the figure, in the quadrilateral ABCD, ∠ ABC = 90 °, ∠ cab = 30 °, de ⊥ AC is in E, and AE = CE, if de = 5, EB = 12, find the perimeter of the quadrilateral ABCD


∵ - ABC = 90 °, AE = CE, EB = 12, ∵ EB = AE = CE = 12, ∵ AC = AE + CE = 24, ∵ in RT △ ABC, ∵ cab = 30 °, ∵ BC = 12, ab = AC · cos30 ° = 123, ∵ de ⊥ AC, AE = CE, ∵ ad = DC, in RT △ ade, from Pythagorean theorem, it is obtained that & nbsp; ad = AE2 + de2 = 122 + 52 = 13, ? D ?