Geometry - math word problems - page 76 of 162
Number of problems found: 3227
- Triangular prism
Calculate the volume of a triangular prism 10 cm high, the base of which is an equilateral triangle with dimensions a = 5 cm and height va = 4,3 cm
- Surface area
Calculate the surface area of a four-sided 2-m high prism whose base is a rectangle with sides of 17 cm and 1.3 dm.
- Cube
Calculate the cube ABCDA'B'C'D's surface if the area of rectangle ACC'A' = 344 mm².
- Dimensions 80746
The statements are sold in cardboard boxes – for example, the microwave oven box has dimensions of 52 cm, 32 cm, and 40 cm, and 0.4 m² of cardboard is added to the folds. How many square meters of cardboard are needed for 1,000 boxes?
- Right-angled triangle base
Find the volume and surface area of a triangular prism with a right-angled triangle base if the length of the prism base legs are 7.2 cm and 4.7 cm and the height of the prism is 24 cm.
- Calculate 44541
Calculate the surface and volume of the cone if you know that the base radius r = 5 dm and the side length s = 7 dm.
- Calculate 31651
Calculate the surface of a regular 5-sided prism with a base area of 60 dm² if the length of the edge of the lower base is four dm. The height of the prism is 1.3 m.
- Children's 8246
We prepare a pile of sand in the shape of a cone with a height of 1 m and a diameter of 1.6 m. We prepare it for the children's sandpit. What volume of sand does this pile occupy?
- Dimensions 3950
Calculate the solid diagonal of a block whose dimensions are: a = 3cm, b = 5, c = 7cm. Find its volume as well.
- Rainfall
How many liters of water fell in a 32m long and 8m wide garden if 8mm of rain fell?
- Mystery of stereometrie
Two regular tetrahedrons have surfaces 92 cm² and 207 cm². In what ratio are their volumes? Write as a fraction and as a decimal rounded to 4 decimal places.
- Rectangular 3478
A segment AB is drawn in the rectangular coordinate system with endpoints A [1;6] and B [5;2]. The center symmetry is the origin of the coordinate system. Find the coordinates of the center of this segment in this symmetry projection.
- Thales
Thales is 1 m from the hole. The eyes are 150 cm above the ground and look into the hole with a diameter of 120 cm, as shown. Calculate the depth of the hole.
- Isosceles trapezoid
In an isosceles trapezoid KLMN, the intersection of the diagonals is marked by the letter S. Calculate the area of the trapezoid if /KS/: /SM/ = 2:1 and a triangle KSN is 14 cm².
- People 17333
The room is 240 cm high and has a volume of 48 m³. How many people can work in it when there is 7 m² of floor space per person?
- Cone - from volume surface area
The volume of the rotating cone is 1,018.87 dm3, and its height is 120 cm. What is the surface area of the cone?
- Sphere parts, segment
A sphere with a diameter of 20.6 cm, the cut is a circle with a diameter of 16.2 cm. What are the volume and surface of the segment?
- Truncated cone 6
Calculate the volume of the truncated cone whose bases consist of an inscribed circle and a circle circumscribed to the opposite sides of the cube with the edge length a=1.
- Quadrilateral pyramid
In a regular quadrilateral pyramid, the side edge is e = 7 dm, and the base's diagonal is 50 cm. Calculate the pyramid shell area.
- Hexagonal pyramid
Please calculate the height of a regular hexagonal pyramid with a base edge of 5cm and a wall height of w = 20cm. Please sketch a picture.
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