Geometry - math word problems - page 99 of 163
Number of problems found: 3251
- Box wand fit
The box has dimensions of 30 cm, 40 cm, and 120 cm. Will a 128 cm long wand fit in it? - Hexagonal prism volume
Calculate the volume and surface of a regular hexagonal prism with a height v = 2cm and a base edge a = 8cm. - Pyramid surface height
The regular quadrilateral pyramid has a volume of 212 m³ and a base edge a = 7.2 m. Calculate the surface area and height of the pyramid. - Pool wetted area
The block-shaped pool with dimensions of 25 m and 12.5 m and a depth of 2 m is filled with 4/5 of water. Calculate the area of water-wetted areas. - Cube edge
Find the length of the edge of a cube if its surface is 1296.5 cm². - Block volume
Calculate the volume of the block if a = 3 cm, the size of the body diagonal is 10 cm and the size of the diagonal of the base is 5 cm - Body surfaces
The cuboid's volume is 864 mm³. Its square base has the same area as the base of a quadrilateral prism, with dimensions 7cm and 9cm, the height of the base 4cm, and the height of the prism 15cm. Find the surfaces of both bodies. - My father
My father cut 78 slats on the fence. The shortest of them was 97 cm long, and the longer one was 102 cm long. What was the total length of the slats in cm? - Workers
Workers are digging a jump pit in the schoolyard. The pit is cuboid in shape, with a length of 5 m, a width of 20 dm, and a depth of 36 cm. They excavate 0.4 cubic meters of soil an hour. How much time (hours and minutes) is needed to excavate this pit? - 216 surface area and volume
Calculate the surface area and volume of a regular tetrahedral pyramid: a = 6 cm and the body height is 12 cm. - Cylindrical rod
We should grind a cylindrical rod with a diameter of 6 cm and a length of 20 cm to form a conical rod of the same size and the same base diameter. What will be the volume of material removed? - Three-quarters of a tank
The oil tank is shaped like a cylinder with a height of 8 m and a diameter of 4 m. It is three-quarters full. How much oil is in it? - Cube - surface and volume
How many times does the volume of a cube increase if its surface increases four times? - The roof of the church
The cone roof of the church has a diameter of 3 m and a height of 4 m. What is the size of the side edge of the church roof (s=?), and how many sheets of the sheet will be needed to cover the church roof? - Prism
Calculate the volume of the rhombic prism. The prism base is a rhombus whose one diagonal is 47 cm, and the edge of the base is 27 cm. The edge length and height of the base of the prism are 4:3. - Tetrahedral pyramid
What is the surface of a regular tetrahedral (four-sided) pyramid if the base edge a=16 and height v=16? - Rotation
The right triangle with legs 11 cm and 18 cm rotates around the longer leg. Calculate the volume and surface area of the formed cone. - Rotating cone II
Calculate the area of the surface of a rotating cone with base radius r=20 cm and height h=10 cm. - Sphere cuts
At what distance from the center does the sphere intersect with the radius R = 46 plane if the cut area and area of the main sphere circle are in ratio 2/5? - Polygon 3
Polygon ABCD is dilated, rotated, and translated to form polygon QWER. The endpoints A and B are at (0, -7) and (8, 8), and the endpoints QW are at (6, -6) and (2, 1.5). What is the scale factor of the dilation?
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