Prism - practice for 13 year olds - page 13 of 15
Number of problems found: 286
- Block wall diagonal
A block with dimensions a = 15 cm b = 5 cm and a block height c = 8 cm. Calculate the length of the wall diagonal in the base. - Wallpaper for Room Walls
How many square metres of wallpaper are needed to cover the walls of a room measuring 3 m × 4 m with a height of 2.5 m? - Block diagonal calculation
The volume of the block is 144 cm³. The base measures 3 cm and 4 cm. How big is the space diagonal? - Wall and body diagonals
The block/cuboid has dimensions a = 4 cm, b = 3 cm, and c = 12 cm. Calculate the length of the wall and space diagonals. - Square prism
Calculate the volume of a square prism with a height of 2 dm and a base that is a rectangle with sides of 17 cm and 1.3 dm. - The height of prism
The base of a vertical prism is a right triangle with legs 30 cm and 40 cm long. The prism has the same volume as a cube with an edge length of 3 dm. Find the height of the prism in centimetres. - Cylinder material waste
A cylinder with the maximum possible base was ground from a wooden regular quadrilateral prism (edge 2.8 cm, height 7.5 cm). What percentage of the material was wasted as waste? What percentage would it be if the height of the prism were twice as large? - Triangular prism
The curved part of the rotating cylinder is four times larger than the area of its base. Determine the volume of the regular triangular prism inscribed in the cylinder. The radius of the bottom of the cylinder is 10 cm. - Block height surface
A cuboid with a square base of edge length 4 dm has a surface area of 112 dm². Find its height. - Quadrangle prism
Find the volume of a quadrangle prism high 2 dm whose base is a square with a side of 15 cm. - A box A box is 15 centimeters long, 4 centimeters wide, and 3 centimeters tall. What is the diagonal S of the bottom side? What is the length of the body diagonal R?
- Building base
Excavation for the building base is 350x600x26000. Calculate its volume in m³. - Prism pyramid ratio
For the volumes of a perpendicular prism and a pyramid with the same base and height: A) the volumes are equal B) the volume of a pyramid is three times smaller than the volume of a prism C) the ratio of the volumes of the prism and the pyramid is 1:3 D) - Cutting the prism
A prism with a square base with an area of 1 cm² and a height of 3 cm was cut from a cube with an edge length of 3 cm. What is the body's surface formed from the cube after cutting the prism? - Block diagonal The block has dimensions l = 5 cm, w = 4 cm, and h = 3 cm. Calculate the length of its body diagonal.
- Surface of the cuboid
Find the surface of the cuboid if its edges have the dimensions a, 2/3a, and 2a. - Triangular prism
The plane passing through the edge AB and the center of segment CC' of regular triangular prism ABCA'B'C' has an angle with base 30 degrees, |AB| = 15 cm. Calculate the volume of the prism. - Turning machine
What is the smallest diameter of the cylinder so that a square prism with a side of 40 cm can be turned from it? - Cylinder - h
The cylinder volume is 140 cm³. The base radius is 7 cm. Calculate the height of the cylinder. - Prism pyramid volume
Calculate the body's volume, consisting of a prism and a pyramid with the same square base with an edge of 8 cm. The prism is 20 cm high, and the pyramid is 15 cm.
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