Area - math word problems - page 155 of 158

Number of problems found: 3149

Center traverse
Does the middle traverse indeed bisect the triangle?
Diagonals of the rhombus
Calculate the height of the rhombus whose diagonals are 18 cm and 6 cm.
Garden
How many steps of 64 cm circumvent the square garden with area 1.5 ha?
Rainfall
Annual rainfall in our country is an average of 619 mm. How many m³ of water rains on average per hectare?
Special cube
Calculate the cube's edge if its surface and volume are numerically equal numbers.
Cube
The sum of lengths of cube edges is 56 cm. What are its surface and volume?
Pipes
The water pipe has a cross-section 1903 cm². An hour has passed 859 m³ of water. How much water flows through the pipe with cross-section 300 cm² per 11 hours if water flows at the same speed?
Observatory
The observatory dome has the shape of a hemisphere with a diameter d = 10 m. Calculate the surface.
Rotating cone II
Calculate the area of the surface of a rotating cone with base radius r=15 cm and height h=13 cm.
Kitchen
The kitchen roller has a diameter of 78 mm and a width of 315 mm. How many square millimeters roll on one turn?
Rectangles
How many rectangles with area 8855 cm² whose sides are natural numbers?
Sphere slices
Calculate the volume and surface of a sphere if the radii of a parallel cut r₁=32 cm, r₂=47 cm, and its distance v=21 cm.
Sphere cuts
At what distance from the center does the sphere intersect with the radius R = 46 plane if the cut area and area of the main sphere circle are in ratio 2/5?
Heron backlaw
Calculate the unknown side in a triangle with sides 39 and 38 and area 438.6.
Equilateral triangle
Calculate the side of an equilateral triangle if its area is 886 mm².
Right triangle
Right triangle legs have lengths 71 dm and 919 mm. Calculate the area of this triangle.
Triangle
Calculate the triangle's heights ABC if the triangle's sides are a=26, b=81, and c=73.
Diamond
Find the side of the diamond if its area is S = 194 cm² and one diagonal u₂ = 44 cm.
Circle
How big is the area of a circle if its circumference is 51.2 cm?
The cap
A rotating cone shapes a jester hat. Calculate how much paper is needed for the cap 53 cm high when the head circumference is 45 cm.

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