Mathematics of grade five in primary school: enlarge the bottom of a triangle by 8 times and reduce the height by 2 times, then the new triangle will be 90 square centimeters larger than the original triangle. What is the original triangle's area?

Mathematics of grade five in primary school: enlarge the bottom of a triangle by 8 times and reduce the height by 2 times, then the new triangle will be 90 square centimeters larger than the original triangle. What is the original triangle's area?


forty-five



When a triangle is reduced by 1:3, what is the area of the triangle?


1/9
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The bottom of a triangle is expanded three times, the height is reduced to one sixth of the original area
A. Three times larger B. reduced to one-half C. unchanged D. reduced to one eighteenth


B



The bottom of a parallelogram is 8 decimeters, the area is 20 square decimeters, how many decimeters is the height?
To solve a series of equations


Let the height be X. according to the area formula of parallelogram, there is the following equation:
8×X=20
The solution is x = 20 △ 8
X = 2.5 decimeters
The height is 2.5 decimeters



A cylinder has a volume of 18 cubic decimeters and a bottom area of 6 square decimeters. How many decimeters is its height?


Cylinder v = s × H
H = V △ s bottom = 18 △ 6 = 3 decimeters
Its height is three decimeters



The height of a cylinder is 18 decimeters. If the height is increased by 1 decimeter, the side area will be increased by 31.4 square decimeters?


31.4 divided by 1 divided by 3.14 divided by 2
=31.4 divided by 3.14 divided by 2
=10 divided by 2
=5 (decimeter) this is the radius
3.14 times the square of 5 times 18
=3.14 by 25 by 18
=78.5 times 18
=1413 (cubic decimeter)
A: the original volume of this cylinder is 1413 cubic decimeters



The surface area of a cylinder is 18.84 square decimeters larger than its side area, 5 decimeters higher. How many cubic decimeters is the volume of a cylinder


Bottom area = 18.84 △ 2 = 9.42 (square decimeter)
Cylinder volume = 9.42 × 5 = 47.1 (cubic decimeter)



The volume of a cylinder is 42 cubic meters, the height is 6 decimeters, and the bottom area is () square decimeters


The volume of a cylinder is 42 cubic meters, the height is 6 decimeters, and the bottom area is (7000) square decimeters
42000/6=7 000



1. The height of two cylinders is equal, the ratio of their bottom area is 5:3, and the volume of large cylinder is 18 cubic meters larger than that of small cylinder
How many cubic meters is it? How many cubic meters is the volume of the small cylinder?
2. There are three natural numbers. The ratio of number a to number B is 3:5, the ratio of number B to number C is 4:7, and the sum of the three numbers is 201?


Therefore, the answer is large: (18 / 2) * 5 = 45 cubic meters; small: (18 / 2) * 3 = 27 cubic meters. 1. The height of two cylinders is equal, the ratio of their bottom area is 5:3, and the volume of large cylinder is 18 cubic meters larger than that of small cylinder



There are two cylinders with the same bottom area. The ratio of height is 4:7. The volume of the first cylinder is 20 cubic decimeters. What is the volume of the second cylinder?


V = s * h, s is the same, V is determined by the height, so the volume ratio is 4:7, the second is 20 / 4 * 7 = 35-20 = 15 (cubic centimeter)