Solid geometry, stereometry - page 46 of 121
Number of problems found: 2404
- Fifty-meter 80722
Calculate how many hectoliters of water can fit in a fifty-meter sloped pool; if the smallest depth is 1.2 m and the largest depth is 3 m, the width of the pool is 20 m.
- Classroom 62353
The classroom is 11 m long. The width is 6.5 m, and the height is 4 m. We will pay CZK 7.50 for 1 m of square painting. How much will it cost to paint a classroom? They rounded to the crowns.
- Calculation 29971
Cylinder height and radius calculation The rectangle ABCD | AB | is given = 8 cm, and | BC | = 4 cm. Determine the height and radius of the cylinder created by rotating the rectangle around the line AB.
- Quadrilateral 28491
Calculate the weight of a regular quadrilateral pyramid with a base edge of 4 cm in length and a body height of 6 cm if it is made of a material density of 8 g/cm³.
- Trapezoidal 6110
Calculate the volume of a 1.3 dm high pyramid with a trapezoidal base. The bases are 2.3 dm and 1.6 dm long, and the pyramid's height is 1.8 dm.
- Dimensions - cardboard
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?
- Triangular prism
The regular triangular prism has a base edge of 8.6 dm and a height of 1.5 m. Find its volume and surface area.
- Calculate a prism
Calculate the volume and surface area of a prism whose height is 16cm and whose base is a right triangle with sides of 5cm and 12cm and a hypotenuse of 13cm.
- Water level
What is the area of the pool's water level after filling 25 m³ of water level by 10 cm? a) 25 m² b) 250 m² c) 2500 dm² d) 25,000 cm2
- Volleyball - air in ball
The radius of a volleyball is 10 cm. Calculate how many liters of air fit into an ideal inflated ball. Calculate how many square meters of leather material you need to make it.
- Pyramid height
Find the volume of a regular triangular pyramid with edge length a = 12cm and pyramid height h = 20cm.
- Metal rails
Dad needs to improve the edges of the wooden boxes, which are to be reinforced with metal rails. How many cm of rails will he need if the box has the shape of a prism and the length of the edges is 70cm, 70cm, and 120cm?
- Water flow 2
How many liters of water will flow in 7 minutes from a cylindrical pipe 1 cm in diameter if the water flows at a speed of 30 km per hour?
- Triangular prism
The base of the perpendicular triangular prism is a right triangle with a leg length of 5 cm. The area of the largest sidewall of its surface is 130 cm², and the body's height is 10 cm. Calculate its volume.
- Water
The lawn has an area 1571 m², rained 5 mm of water. How many liters of water rained?
- Present
The gift box has a rectangular shape with dimensions of 8×8×3 cm. Miloslav wants to cover it with square paper with sides of 18 cm. How much paper was left to him?
- One-quarter 16853
How many m² of paper are needed to produce 1000 pieces of cube-shaped boxes with an 8 cm edge when we must add one-quarter of the area to the joints?
- Triangular 6950
A triangular prism has the base of a right triangle with 6 dm and 8 dm legs and a hypotenuse of 10 dm. The height of the prism is 40 dm. What is the volume of a prism?
- Quadrilateral 6116
The area of a regular quadrilateral pyramid's mantle is equal to twice its base's area. Calculate the pyramid's surface if the length of the base edge is 20 dm.
- Aquarium 3432
The aquarium has the shape of a block with a length of 0.7 m and a width of 25 cm. It can hold 56 liters of water. How deep is the aquarium?
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