Solid geometry, stereometry - page 3 of 121
Number of problems found: 2409
- Two cubes 2
Two cubes each of volume 125 cm³ are joined end to end. Find the surface area of the resulting cuboid . - The volume 9 The volume of a large tank is 210 yd³. It is 2 2/5 yd wide and 2 4/5 yd high. What is the length of the tank?
- Revolving to cone
A triangle whose sides are 20 cm, 16 cm, and 12 cm is revolving around its greatest side as axis. What is the volume space it generates after a full revolution in cubic centimeters? - A bakery
A bakery makes cylindrical mini muffins that measure 2 inches in diameter and one-fourth inches in height. If each mini muffin is completely wrapped in paper, how much paper is needed to wrap 6 mini muffins? Approximate using pi equals 22 over 7. - The surface 5
The surface area of a cylinder is 6140 cm², and the radius is 25 cm. What is the height? - A lamp
A lamp shade like that of a frustum has a height of 12 cm and an upper and lower diameter of 10 cm and 20 cm. What area of materials is required to cover the curved surface of the frustum? - A frustum
A frustum of a pyramid consists of a square base of length 10 cm and a top square of length 7 cm. The height of the frustum is 6 cm. Calculate the surface area and volume. - Slant height 3
The frustum of a right circular cone has the diameters of base 10 cm of top 6 cm and a height of 5 cm. Find the slant height. - The frustum A frustum of a pyramid is 4 cm at the top and 7 cm at the bottom square, and it's 6 cm high. Calculate the volume of the frustum.
- Spherical sector - parameters
Find the volume and surface area of spherical sector whose base has an altitude of 8cm. Drawn on a sphere whose diameter is 36 cm. - Cuboid - sum of edges length Calculate the cuboid's dimensions if the sum of its edges is 19 cm. The body's diagonal size is 13 cm, and its volume is 144 cm³. The total surface area is 192 cm².
- A cone 3
A cone has a diameter of x cm and a slant height of y cm. A square pyramid has a base side length of x cm and a slant height of y cm. Which has the greater surface area? Explain. - A conical
A conical tent can accommodate 11 people. Each person needs 4 m² of space on the ground and 20 m³ of air to breathe. Find the height of the tent. - The cuboid 2
If the areas of three adjacent faces of a cuboid are 6,10,22 respectively then find the volume of the cuboid. - Perfect square or cube
Would you classify 324 as a perfect square, perfect cube, both, or neither? ... - Surface = volume
If the volume and the surface area of a sphere are numerically the same then find its radius. - Ones cube
Find the volume of a cube whose total surface area is 6 m². - A cone 4
A cone with a radius of 10 cm is divided into two parts by drawing a plane through the midpoint of its axis parallel to its base. Compare the volumes of the two parts. - The Earth and Moon
The diameter of the Moon is approximately 1/4 of the diameter of the Earth. What fraction of the volume of the Earth is the volume of the Moon? - Plasticine cuboid Paul makes a cuboid of plasticine with sides 5 cm, 2 cm, and 5 cm. How many such cuboids will he need to form a cube?
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