Square (second power, quadratic) - math word problems - page 81 of 145
Number of problems found: 2896
- Rotating 7947
In the rotating cone = 100π S rotating cone = 90π v =? r =?
- National park
In the national park, the ratio of the wooded area to grassland is 4:1. The total area is 385 km². What area is wooded?
- Triangular pyramid
What is the volume of a regular triangular pyramid with a side 3 cm long?
- Schoolyard 7928
For Adam to walk around the schoolyard, he has to take 400 steps. What is the length of one side of the schoolyard if it is square and one step of Adam is half a meter long?
- Dimensions 7912
How many blocks have integer dimensions of the edges if the surface is 48 m²?
- Four-sided 7910
The roof of the recreation cottage has the shape of a regular four-sided pyramid with a height of 8m and a base edge of 4m. How much ℅ went to folds and joints, and 75.9 square meters of sheet metal were used to cover the roof?
- Must-have 7893
If we want to make a prism with a wooden base with a 5 cm side of a wooden bar, what is the bar's smallest diameter?
- Transport 7890
The sheet metal keg for oil transport has the shape of a cylinder with a volume of 62.8 liters and a height of 0.5 m. How many kg of paint do we need to paint if we need 1 kg of paint for 1.5 m²?
- Completing square
Solve the quadratic equation: m²=4m+20 using completing the square method.
- Foot area
Which animal will leave a deeper footstep: an elephant weighing 5 tons with a total foot area of 0.5 square meters, or a gazelle weighing 10 kg and a foot area of 50 cm square?
- Calculate 7854
The surface of the cube is 61.44 cm². Calculate its volume.
- Vertically 7853
The storm broke the vertically growing spruce at 8 meters above the ground. The top fell to the bottom 6 meters from the spruce base. Find the original height of the spruce.
- Lampshade 7846
Lampshade for the face of a truncated cone with a height of 20 cm. The upper diameter of the shade is 13 cm, the lower 36 cm, and the side forms an angle of 60 degrees with the lower diameter. At least how much fabric is needed to make this shade?
- Four-sided 7833
The tower has the shape of a regular four-sided pyramid with a base edge of 0.8 m. The height of the tower is 1.2 meters. How many square meters of sheet metal is needed for coverage if we count eight percent for joints and overlap?
- Half-sphere roof
The roof above the castle tower has the shape of a 12.8 m diameter half-sphere. What is this roof's cost if the cost of 1 square meter is 12 euros and 40 cents?
- Kilograms 7828
The gas tank is a sphere with a diameter of 17.8 m. How many cubic meters of gas can it hold? If 1 kg of paint is enough to paint about 6 square meters, how many kilograms of paint are needed to paint a gas tank?
- Cube surface and volume
The surface of the cube is 500 cm². How much cm³ will its volume be?
- Pyramid-shaped 7820
The pyramid-shaped tent has a square base with a side size of 2.2m and a height of 1.8m. How many square meters of tent canvas are needed to make it if we count an extra five percent for the foundation?
- The observatory
The dome of the hemisphere-shaped observatory is 5.4 meters high. How many square meters of sheet metal need to be covered to cover it, and must we add 15 percent to the minimum amount due to joints and waste?
- Quadrilateral 7815
The area of a regular quadrilateral pyramid's mantle is equal to twice its base's area. Calculate the pyramid's volume if the base edge's length is 20 dm.
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