Area - math word problems - page 14 of 161
Number of problems found: 3206
- Triangle Area and Perimeter
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
A rainwater collection tank has the shape of a prism with trapezoidal cross-section, with parallel sides a = 5 m and c = 7 m, which are 4 metres apart. The depth of the tank is 3 metres. How many hectolitres of water can it hold at most if 8% of its volum - Triangle and Cone
A right triangle has legs 3 cm and 4 cm long. Cone A was created by rotating this triangle around the longer leg, and cone B by rotating it around the shorter leg. Which cone has: a) a larger volume? b) a smaller lateral surface area? c) a larger total su - 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 1 m*4 m*90 cm. - Posters on Cone
The stand on which the posters are stuck has the shape of a cone. It is 2.4 m tall. The side of the cone is 2.5 m long. How many 40cmx60 cm 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?
- Yard Length from Area
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 6 m, the length is 9 m, and the s
- Isosceles weight
A designer weight is made from a glass cube by cutting off a triangular prism with an isosceles right-triangle base, where the legs of the triangle are each half the length of the cube's edge. What percentage of the cube is removed when making the weight? - Coordinates of line points
I have a point A=[2,1] and a line y+x-5=0. How do I determine the coordinates of point A', which is the image of point A according to the given straight line? - Area Difference: Square Circle
A square is described as a circle with a radius of 6 cm. How much larger is the area of the square than the area of the circle? - Circle arc + section
Calculate the length of the arc of a circle and the volume of a circular section if the circle's radius is 8.3 centimeters and the central angle alpha=104 degrees. - Connecting lines
They are given a square ABCD. The points EFGH are the midpoints of its sides. What part of the area of the square ABCD is the area of the square created in its center by connecting the points AF, BG, CH, and DE? - Quadrilateral prism
Calculate shell area of a quadrilateral prism with a rhombus base with dimensions a=6 cm, ha=40 mm. The height of the prism is 81 mm. - Quadrangle ACEG
The figure shows two rectangles ABCD and DEFG, with |DE| = 3 cm, |AD| = 6 cm, |DG| = 5 cm, and |CD| = 10 cm. Calculate the area of quadrilateral ACEG. Figure description: the two rectangles share vertex D. Rectangle ABCD has sides twice as long as those o - Total Sidewalk Area
The pavers paved 1/8 of the total area of the sidewalk on the first day. On the second day, they paved 20 square meters of pavement. In both two days, they paved 50 square meters of sidewalks. Calculate the total area of the sidewalk. - Carpet area
How many meters of carpet 3 meters wide are needed to cover a square floor with a area of 36 square meters? - Fencing a Square Garden How many meters of mesh is needed to fence a square garden with an area of 5,402.25 square meters?
- Triangle Side Calculation
Calculate the side a of triangle ABC if we know va=8 cm, b=16 cm, vb=10 cm.
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