The volume of problems
Number of problems found: 241
If 4 and a half teaspoons of baking powder are need to make 10 servings of cornbread, how many teaspoons are needed to make 25 servings?
- Swimming pool 5
A rectangular inflatable swimming pool is 3 yards long, 2 5/8 yards wide, and 1 3/5 yard tall. What is the volume of the pool? Round to the nearest tenth.
What is the volume of a body that stretches a dynamometer in air, on which it is suspended by a force of 2.5 N, and if it is immersed in alcohol with a density of 800 kg/m ^ 3, does it tension the dynamometer with a force of 1.3 N?
- Right-angled triangle base
Find the volume and surface area of a triangular prism with a right-angled triangle base if the length of the prism base legs are 7.2 cm and 4.7 cm and the height of a prism is 24 cm.
- Regular square prism
The volume of a regular square prism is 192 cm3. The size of its base edge and the body height is 1: 3. Calculate the surface of the prism.
- An architect 2
An architect is designing a house. He wants the bedroom to have the dimensions of 8 ft by 4 ft by 7 ft. The architect doubles all three dimensions to create the den. Does that mean the den will have double the volume of the bedroom? First, find the volume
- Side edges
The regular 4-sided pyramid has a body height of 2 dm, and the opposite side edges form an angle of 70°. Calculate the surface area and volume of the pyramid.
- Cube-shaped box
The cube-shaped box is filled to the brim with 2 liters of milk. Calculate the edge and surface of the box.
- How many 9
How many percent volume remain of a sphere if diameter decrease 3×?
- Sand loading
The truck with a load capacity of 7 tons has a storage area of 4.5 m and 2.1 m. The weight of 1 m3 of wet sand is 2,000 kg. How high can we load the sand so that the load capacity of the car is not exceeded?
- Special body
Above each wall of a cube with an edge a = 30 cm, a regular quadrilateral pyramid with a height of 15 cm is constructed. Find the volume of the resulting body.
- The cone - S,V
Calculate the volume and surface area of the cone if its radius r = 6 cm and side s = 10 cm.
- Consecutive members
The block has a volume of 1728 cm³. Determine the lengths of the edges a, b, c of the blocks for which a < b < c and a + b + c = 38 cm and whose numerical values in cm represent three consecutive members of the geometric sequence.
- Iglu - cone tent
The cone-shaped tent is 3 m high, 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? b
Jansen had 1.3 litres of fruit juice. He drank 0.5 litres during lunch. How many litres of fruit juice does he have left?
- From plasticine
Michael modeled from plasticine a 15 cm high pyramid with a rectangular base with the sides of the base a = 12 cm and b = 8 cm. From this pyramid, Janka modeled a rotating cone with a base diameter d = 10 cm. How tall was Janka's cone?
- Cuboid diagonals
The cuboid has dimensions of 15, 20 and 40 cm. Calculate its volume and surface, the length of the body diagonal and the lengths of all three wall diagonals.
- Find the
Find the surface area of a regular quadrilateral pyramid which has a volume of 24 dm3 and a height of 45 cm.
- The body
The body has dimensions of 2m, 2dm, and 10 cm. It weighs 28 kg. What is its density?
- Quadrilateral prism
The height of a regular quadrilateral prism is v = 10 cm, the deviation of the body diagonal from the base is 60°. Determine the length of the base edges, the surface, and the volume of the prism.