Triangle + volume - practice problems - page 6 of 18
Number of problems found: 343
- The cone - S,V
Calculate the volume and surface area of the cone if its radius r = 6 cm and side s = 10 cm. - Cone
Calculate the volume of the rotating cone with a base radius of 26.3 cm and a side 38.4 cm long. - Juice box
The juice box has a volume of 200ml, with its base being an isosceles triangle with sides a = 4,5cm and a height of 3,4cm. How tall is the box? - Determine 4876
The rotating cone has a height of 72 cm and an angle at the top of 72 °. Determine the volume of the sphere.
- Regular triangular pyramid
Calculate the volume and surface area of the regular triangular pyramid. The height of the pyramid is 12 centimeters. The bottom edge has 4 centimeters, and the height of the sidewall is 12 centimeters. - Calculate 18843
Height 9cm diameter 24cm cone - calculate its volume and surface. - The tetrahedron
Calculate a regular tetrahedron's surface area and volume 4.9 cm high, and the base edge has a length of 6 cm. - Tetrahedral pyramid
Calculate the surface S and the volume V of a regular tetrahedral pyramid with the base side a = 5 m and a body height of 14 m. - The base 2
The base diameter of a right cone is 16cm, and its slant height is 12cm. A. ) Find the perpendicular height of the cone to 1 decimal place. B. ) Find the volume of the cone, and convert it to 3 significant figures. Take pi =3.14
- Iglu - cone tent
The cone-shaped tent is 3 m high, and the diameter of its base is 3.2 m. a) The tent is made of two layers of material. How many m² of fabric is needed for production (including flooring) if 20% needs to be added to the minimum amount due to cutting waste - Cubes
One cube is an inscribed sphere, and the other one is described. Calculate the difference of volumes of cubes if the difference of surfaces in 231 cm². - Pyramid cut
We cut the regular square pyramid with a parallel plane to the two parts (see figure). The volume of the smaller pyramid is 20% of the volume of the original one. The bottom of the base of the smaller pyramid has an area of 10 cm². Find the area of the or - Axial section of the cone
The axial section of the cone is an isosceles triangle in which the ratio of cone diameter to cone side is 2:3. Calculate its volume if you know its area is 314 cm square. - Pyramidal 44061
A pyramidal candle with a square base has a side edge of s = 12 cm and a base edge of 4 cm. How much wax will we need to make it, and how long is the wick if it is 5% bigger than its height?
- Confectionery 7318
The confectioner needs to carve a cone-shaped decoration from a ball-shaped confectionery mass with a radius of 25 cm. Find the radius of the base of the ornament a (and the height h). He uses as much material as possible is used to make the ornament. - Classic tent
The tent has the shape of a triangular prism. The front and rear walls are isosceles triangles with a height of 18 dm and arms 19.5 dm long. The tent is 1.5 m wide and 2 m long. How many square meters of fabric are needed to make a tent? How much air is i - Four sided prism
Calculate the volume and surface area of a regular quadrangular prism whose height is 28.6cm, and the diagonal body forms a 50-degree angle with the base plane. - Circumference 16933
In the diamond ABCD, the angle BAD is 60°; the length of the diagonal BD is 7 cm. Calculate the circumference of the diamond. - Base of prism
The base of the perpendicular prism is a rectangular triangle whose legs lengths are at a 3:4 ratio. The height of the prism is 2cm smaller than the larger base leg. Determine the volume of the prism if its surface is 468 cm².
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