Area - math word problems - page 127 of 157

Number of problems found: 3133

Quarter-liter 3380
A container has the shape of a regular hexagonal prism with a base and a capacity of 0.5 dm², which means three quarter-liter cups of water fill the brim. What is the height of a container?
Cuboid and ratio
A cuboid has dimensions in a ratio of 1:2:6, and the surface area of the cuboid is 1000 dm². Calculate the volume of the cuboid.
Cone
The rotating cone volume is 9.42 cm³, with a height of 10 cm. What angle is between the side of the cone and its base?
The road
The road roller has a diameter of 1.2 m and a width of 180 cm. How many m² of the road does it level when it turns 35 times?
Folded square
ABCD is a square. The square is folded on the midpoint of AB, and A is folded onto the fold, creating a shaded region. The perimeter of the shaded figure is 75. Find the area of square ABCD
Hexagonal pyramid
A regular hexagonal pyramid has dimensions: the length edge of the base a = 1.8 dm, and the height of the pyramid = 2.4 dm. Calculate the surface area and volume of a pyramid.
Circumference 3370
Calculate the surface and volume of the rotating cone, whose base circumference is 125.6 cm and the side is 25 cm long.
Regular triangular prism
Calculate the surface area of the body of a regular triangular prism when the length of its base edge is 6.5 cm, and its height is 0.2 m.
Tree shadow 3
What is the diameter of a tree wrapped in a rope around 3m 9dm 7cm long? How big is its cross-sectional area?
Above Earth
To what height must a boy be raised above the earth to see one-fifth of its surface?
Airplane
Aviator sees part of the earth's surface with an area of 200,000 square kilometers. How high does he fly?
Painting 3328
The painter will paint a room 7 m long, 4.5 m wide, and 3 m high. He charges CZK 27 per 1 m². How much do we pay painters to paint a room?
Rectangle
The length of the rectangle is 12 cm greater than three times its width. What dimensions and area does this rectangle have if its circumference is 104 cm?
Increase 3302
The cube has an edge of 70 dm long. How many times does the volume and surface of the cube increase if we enlarge its edge four times?
Rectangle 3290
The rectangle 1 m and 40 cm long and 1 m and 20 cm wide is paved with square tiles with a side of 1 dm. There is one row of brown tiles on all edges of the rectangle, white on the inside. How many brown and how many white tiles?
Flowerbed
The family has tulips on a square flower bed of 6 meters. Later, they added a square terrace with a side of 7 meters to their house. One vertex of the terrace lay exactly in the middle of a tulip bed, and one side of the terrace was divided by the side of
Prism
Calculate the surface area and volume of a prism with a body height h = 10 cm, and its base has the shape of a rhomboid with sides a = 5.8 cm, b = 3 cm, and the distance of its two longer sides is w = 2.4 cm.
Circumference 3254
Calculate the height of a diamond with a circumference of 21.6cm and an area of 21.6cm squares.
Copper plate
Calculate the thickness of the copper plate with a density of 8.7 g/cm³ measuring 1.5 meters and 80 cm, and its weight is 3.65 kg.
Tiles
An area of 5m x 4m is given. One tile is 40 x 40 cm. How many tiles are needed in this area? And how many tiles need to be cut (if the tiles can't fall exactly)?

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