Area - math word problems - page 37 of 161
Number of problems found: 3206
- Plot map area
On a map with a scale of 1:30,000, the plot is represented by a square with a side of 6 cm. What is the area really like? How many times is the actual plot larger than its image on the map? - Square quadrilateral area
The picture shows a square ABCD with the center S and the side 8 cm long. Point E is any point on the CD side other than C and D. Calculate the area of the ASBE quadrilateral in cm². - Hexagonal wax
The candle is made from wax in the shape of a regular hexagonal pyramid. It has a height of 6.5 cm and a length of the base edge of 3 cm. Find the volume of wax. - Board triangle ratio
From a rectangular board with 2 m and 3 m dimensions, we cut isosceles and right-angled triangles at the corners with an overhang of 40 cm. Calculate the ratio of the rest of the board's areas to its total original area. - Square circle difference
A circle is inscribed in a square with a side of 12 cm so that it touches all its sides. Calculate the difference between the area of the square and the circle. - Octagon perimeter area
From a square with a side of 4 cm, we cut four right-angled isosceles triangles with right angles at the square's vertices and with an overlap of √2 cm. We get an octagon. Calculate its perimeter if the area of the octagon is 14 cm². - Quadrilateral prism
Calculate the surface and volume of a quadrilateral prism if given: the area of the base is 40 cm², the bottom of the base is k = 8 cm, and the height of the prism is 1.3 dm (the bottom is a rectangle) - Triangle height perpendicular
The perpendiculars of a right triangle have 30 cm and 40 cm lengths. What is the height of the triangle? - Hexagonal prism volume
Calculate the volume and surface of a regular hexagonal prism with a height v = 2 cm and a base edge a = 8 cm. - Trapezoid perimeter base
The isosceles trapezoid ABCD has an area of 36 cm². One of its bases is two times longer than the other. Height is 4 cm. Calculate the perimeter of the trapezoid. - Vase height volume
The cylindrical vase has a volume of 1 l. If its base has an area of 0.5 dm2, calculate its height. - Bucket plastic material
The plastic bucket has the shape of a cylinder with a diameter of 25 cm and a height of 40 cm. How many square centimeters are needed to produce it? How many liters does it contain when filled 5 cm below the rim? - Calculate cone - S,V
Calculate the surface and volume of a rotating cone, the base of which has a diameter of 6 cm and a height of 4 cm. - Square area increase
The area of the square is 36 cm². What will be the area of the square if we increase the length of a side by 25%? - Trapezoid base ratio In an isosceles trapezoid, the base ratio a / c = 9/7, arm b = 10 cm, height v = 8 cm. Calculate the area of the trapezoid in cm².
- Three sigma rule
Stomach weights are normally distributed, with a mean of 1314 g and a standard deviation of 113 g. State the probability that a randomly selected stomach weighs more than 1118 g. (Report the probabilities using at least four decimal places. ) - Calculate sphere cap
Calculate the surface of a spherical cap with a height of 6 cm and a radius of 15 cm - Parallelogram - sides L
In a parallelogram, the sum of the lengths of the sides a+b = 234. The angle subtended by the sides a and b is 60°. The diagonal size against the given angle of 60° is u=162. Calculate the sides of the parallelogram, its perimeter, and its area. - Triangle area grid
Each square of the net has an area of 25 mm². Calculate the area of the DEF triangle in cm². Express the result as a decimal number to three decimal places. - Triangular prism volume
Calculate the volume of a regular triangular prism with a substantial edge length of 8 cm and a prism height of 17 cm.
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