Surface area - high school - practice problems - page 9 of 13
Number of problems found: 259
- Quadrilateral 7815
The area of the mantle of a regular quadrilateral pyramid is equal to twice the area of its base. Calculate the pyramid's volume if the base edge's length is 20 dm. - 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. - Rotary cone
The volume of the rotation of the cone is 472 cm³. The angle between the side of the cone and the base angle is 70°. Calculate the lateral surface area of this cone. - Quadrilateral pyramid
In a regular quadrilateral pyramid, the side edge is e = 7 dm, and the diagonal of the base is 50 cm. Calculate the pyramid shell area.
- Lateral surface area
The ratio of the area of the base of the rotary cone to its lateral surface area is 3:5. Calculate the surface and volume of the cone if its height v = 4 cm. - Cube diagonals
Determine the volume and surface area of the cube if you know the length of the body diagonal u = 216 cm. - Quadrilateral 36061
In a regular quadrilateral pyramid, the length of the base edge is a = 8 cm, and the length of the side edge is h = 17 cm. Calculate the surface of the pyramid. - Axial cut
The cone surface is 388.84 cm2, and the axial cut is an equilateral triangle. Find the cone volume. - Calculate 3019
The height is 5 cm, and the size of the angle that the side of the cone with the base makes is 63 degrees. Calculate the surface and volume of this cone.
- How to
How to find a total surface of a rectangular pyramid if each face is 8 dm high and the base is 10 dm by 6 dm? - Cone roof
How many m² of roofing is needed to cover a cone-shaped roof with a diameter of 10 m and a height of 4 m? Add an extra 4% to the overlays. - Nice prism
Calculate the cuboid's surface if the sum of its edges is a + b + c = 19 cm and the body diagonal size u = 13 cm. - Rectangle pool
Find dimensions of an open pool with a square bottom with a capacity of 32 m³ to have painted/bricked walls with the least amount of material. - Hexagonal prism 2
The regular hexagonal prism has a surface of 140 cm² and a height of 5 cm. Calculate its volume.
- Cuboid and ratio
A cuboid has dimensions in a ratio of 1:2:6, and the surface area of the cuboid is 1000 dm². Calculate the volume of the cuboid. - Regular triangular prism
Calculate the surface area of the body of a regular triangular prism when the length of its base edge is 6.5 cm, and its height is 0.2 m. - Rotating 28001
There is a rotating cone: r = 6.8 cm s = 14.4 cm. Find the area of the cone surface S2, the height h, and the volume V. - Calculate 19443
Calculate the height of the cylinder when r = 10 mm and S = 800 mm². Calculate the radius / r / of the cylinder when the height is 20 mm and S = 1000 mm². - Quadrilateral 8221
Calculate the height and surface of a regular quadrilateral pyramid with a base edge a = 8 cm and a wall height w = 10 cm
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