Solid geometry, stereometry - page 74 of 121
Number of problems found: 2409
- Collect rain water
The garden water tank is cylindrical, with a diameter of 80 cm and a height of 12 dm. How many liters of water will fit into the tank? - Hexagonal pyramid
Calculate the volume and the surface of a regular hexagonal pyramid with a base edge length of 3 cm and a height of 5 cm. - Tin with oil
Tin with oil has the shape of a rotating cylinder whose height is equal to the diameter of its base. The canned surface is 1884 cm². Calculate how many liters of oil are in the tin. - Pool coating
How many tiles 20 cm × 15 cm need to coat the bottom and sidewalls of the pool with bottom dimensions 75 m × 10 m if the pool can fit up to 1402500 liters of water? - Block-shaped 39241
The boys wanted to store their hand-made totem 5.1 m high in the block-shaped shed, which measures 4 m, 3 m, and 2 m, for the winter. Will it fit in there at all? - Quadrilateral 5130
There is a regular quadrilateral pyramid with the base edge length a = 3 cm and with the length of the side edge h = 8 cm. Please calculate its surface area and volume. - Dimensions 4700
The toolbox has internal dimensions, a length of 1.5 meters, a width of 80 cm, and a height of 6 dm. Calculate the longest rod we can hide in this box. - Cylinder 80733
How tall is a cylinder whose shell has a volume equal to the base? What is the volume of this cylinder? - Diagonals 7084
Calculate the lengths of the wall and body diagonals of the cube with an edge length of 10 cm. - Triangle and Cone
A right triangle has legs 3 cm and 4 cm long. One cone (let's call it A) was created by rotating this triangle around the long leg, and the other (let's call it B) by rotating it around the shorter leg. Which cone has: a) a larger volume b) a smaller surf - A butter
A butter cube with an edge 6.5 cm long is packed in a package with dimensions a = 28 cm and b = 15 cm. Calculate how many cm² the package is larger than the cube's surface. - Bricks wall
There are 5000 bricks. How high wall thicknesses of 20 cm around the area, which has dimensions of 20 m and 15 m, can use these bricks to build? Brick dimensions are 30 cm, 20 cm, and 10 cm. - Block-shaped 13531
The sheet of wrapping paper measures 100cm and 70cm. Is it enough to wrap a gift in a block-shaped box with dimensions of 40 cm, 25 cm, and 20 cm? - The block
The block has dimensions of 5 cm, 10 cm, and 15 cm. Calculate the size of the wall diagonals of this block. - Edge of prism
The regular quadrilateral prism has a surface of 250 dm². Its shell has an area of 200 dm². Calculate its leading edge. - Tetrahedron
What is the angle of the sides from the base of a three-sided pyramid where the sides are identical? - Cuboid and eq2 Calculate the volume of a cuboid with a square base and height of 6 cm if the surface area is 48 cm².
- Surface area of cylinder
Determine the lateral surface of the rotary cylinder, which is a circumscribed cube with a 5 cm edge length. - Cylinder - h
The cylinder volume is 140 cm³. The base radius is 7 cm. Calculate the height of the cylinder. - Calculate 74674
Calculate a cube's surface area and edge if its volume equals 3375 cubic meters.
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