Area - math word problems - page 158 of 161

Number of problems found: 3206

Garden
How many steps of 64 cm each are needed to walk around the perimeter of a square garden with an area of 1.5 ha?
Rainfall
The average annual rainfall in our country is 619 mm. How many m³ of water falls on average per hectare?
Special cube
Find the edge length of a cube whose surface area and volume are numerically equal.
Cube
The sum of all edge lengths of a cube is 56 cm. What are its surface area and volume?
Pipes
A water pipe has a cross-section of 1903 cm². In one hour, 859 m³ of water flows through it. How much water flows through a pipe with a cross-section of 300 cm² in 11 hours, if the water flows at the same speed?
Observatory
An observatory dome has the shape of a hemisphere with diameter d = 10 m. Calculate its surface area.
Rotating cone II
Calculate the lateral surface area of a cone with base radius r = 20 cm and height h = 10 cm.
Kitchen
A kitchen rolling pin has a diameter of 78 mm and a length of 315 mm. How many square millimetres of surface does it cover in one full rotation?
Rectangles
How many rectangles with an area of 8855 cm² have sides that are natural numbers?
Sphere slices
Calculate the volume and surface area of a sphere if two parallel circular cross-sections have radii r₁ = 32 cm and r₂ = 47 cm, and the distance between them is v = 21 cm.
Sphere cuts
At what distance from the centre does a plane intersect a sphere of radius R = 46, if the area of the circular cross-section and the area of the great circle are in the ratio 2:5?
Heron backlaw
Calculate the length of the unknown side of a triangle with sides 39 and 38 and area 438.6.
Equilateral triangle
Calculate the side length of an equilateral triangle whose area is 886 mm².
Right triangle
A right triangle has legs of lengths 71 dm and 919 mm. Calculate the area of this triangle.
Triangle
Calculate all three altitudes of triangle ABC with sides a = 26, b = 81, and c = 73.
Diamond
Find the side length of a rhombus whose area is S = 194 cm² and one diagonal is u₂ = 44 cm.
Circle
What is the area of a circle whose circumference is 51.2 cm?
The cap
A jester's hat is in the shape of a cone. Calculate how much paper is needed to make a hat 53 cm tall for a head circumference of 45 cm.
Copper sheet
The copper plate has a length of 2.2 m, width 92 cm, and weighs 5.6 kg. What is the plate thickness if 1 m³ weighs 8732 kg?
Aquarium II
Calculate how much glass is needed to build a rectangular aquarium with a base of 65 cm × 52 cm and a height of 74 cm, assuming 2% waste. The aquarium has no top.

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