Area - math word problems - page 13 of 158

Number of problems found: 3149

Chord 24
A chord with length t = r times the square root of two divides a circle with radius r into two circular segments. What is the ratio of the areas of these segments?
Tin sheet
How much sheet metal is needed for a triangular prism-shaped box with an edge of 20 cm and a height of 30 cm, the height of the base is 15 cm. An additional 10% of sheet metal is needed for gluing.
On the circular 3
On the circular cap of a salt shaker with a diameter of 4.5 cm there are two types of holes. On the left is a semicircular hole with a diameter of 2.4 cm, on the right are five small circular holes with a diameter of 3 millimeters. Determine the ratio of
Bottom diameter
Milan poured 2 dl of fruit juice into a cylindrical glass with a base diameter of 6 cm. How high did the juice level in the glass reach?
Calculate 5
Calculate the area and perimeter of a trapezoid if side a=10, angle alpha 40 degrees, beta 50 degrees, and side c=3.
Glass vessel
The cylinder-shaped glass vessel is 1 m high and has a volume of 196.25 l. Calculate the diameter of the container.
Cylindrical column
What is the mass of a reinforced concrete cylindrical column with a radius of 30 cm and a height of 4.5 m if the density of reinforced concrete is 2400 kg/m³? Round the result to whole kilograms.
Dimensions - rectangle
One side of the rectangle is 12 cm longer than the other. If we reduce each dimension by a third, the area of the rectangle will be reduced by 60 cm². Determine the dimensions of the rectangle.
Sheet metal troughs
A farmer orders sheet metal troughs from a tinsmith for loading calves on pasture. The tinsmith looks at a picture of the trough and estimates how much sheet metal he will need for one trough. Determine the sheet metal consumption, add 15% for waste and j
Hydraulic lift
Martin needs to lift a 1.5-ton car using a hydraulic device with pistons of sizes 2 cm² and 15 dm². How much force must the device exert on the small piston?
Circumference 83645
The area of a right triangle is 240 cm². Determine its circumference if the given lengths are suspended in a ratio of 5:12.
Groundwater
The groundwater for collecting rainwater has the shape of a prism with trapezoidal bases a=5 m, c=7 m, 4 meters apart. The depth of the tank is 3 meters. How many hectoliters of water can it hold at most if 8% of its volume is taken up by the pump and pip
Triangle and Cone
A right triangle has legs 3 cm and 4 cm long. One cone (let's call it A) was created by rotating this triangle around the long leg, and the other (let's call it B) by rotating it around the shorter leg. Which cone has: a) a larger volume b) a smaller surf
Sand pedestal
The pedestal under the giant billboard is a prism-shaped steel plate structure filled with sand. How much sand will it fit, and what is the area of the plates used? We can neglect their thickness. The dimensions are 1m*4m*90cm.
40cmx60cm 83619
The stand on which the posters are stuck has the shape of a cone. It is 2.4m tall. The side of the cone is 2.5 m long. How many 40cmx60cm posters can be stuck on the stand so they do not overlap?
Diameter - tent
The cone-shaped tent is 3 meters high. The diameter of its base is 3.2 m. How many m³ (cubic meters) of air are in the tent?
Calculate 83569
Calculate the length of a yard with an area of 9.5 ares if its width is 16 meters.
Paint the walls
It is necessary to paint the walls and ceiling of the warehouse, which is 10 m long, 4 m wide, and 3 m high. How many CZK (Czech crowns) will it cost to paint if it costs 200 CZK to paint 1 m²?
Rectangular roof
Our house's roof is rectangular. When it rains, the water drains through the gutter. How much water flowed from our roof during a storm when we know that 12 liters of water fell on every 1 m² of surface? The roof width is 6m, the length is 9m, and the slo
Isosceles weight
A designer weight is made from a glass cube by cutting a three-sided prism with an isosceles triangle base that is right-angled and whose arm is half the length of the cube edge. What percentage of the cube is cut off when making the weight?

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