Physical quantities - math word problems - page 164 of 177

Number of problems found: 3535

Pyramid volume base
Calculate the volume of a regular quadrilateral pyramid with a square base of side a=8 cm and a height of the pyramid of 11 cm.
The base
The base of the quadrilateral prism is a trapezoid with an area of 75 cm square. The prism is 6 cm high. Find the volume of the prism.
Workers
The first worker can complete a job in 40 hours, the second in 50 hours, and the third in 80 hours. How long will it take them to complete the job if they all work together?
Average speed
The car drove from city A to city B at 40 km/h and back to city A at a speed of 80 km/h. What was the average speed of the car?
Prism pyramid ratio
For the volumes of a perpendicular prism and a pyramid with the same base and height: A) the volumes are equal B) the volume of a pyramid is three times smaller than the volume of a prism C) the ratio of the volumes of the prism and the pyramid is 1:3 D)
Quadrilateral pyramid
Calculate the surface area and volume of a regular quadrilateral pyramid whose base edge is 5 cm long and whose height is 10 cm.
Block cube surface
We get a block if we stack two cubes with an edge of 1 dm. What is the difference between the surfaces of this block and the cube?
Cone surface radius
The cone is 12 cm high, and the radius of the figure is 9 cm. Find out its surface.
Bar volume triangle
The 5 m long bar has a cross-section of an equilateral triangle with a side of 35 mm. Calculate its volume
Calculate 4S pyramid
Calculate the surface area and volume of a regular 4-sided pyramid with a base edge of a = 12 cm and a height of v = 5 cm.
Cone volume surface
A right triangle with perpendiculars a = 3 cm and b = 4 cm rotates around a longer perpendicular. Calculate the volume and surface area of the resulting cone.
Pool model
The 1:500 scale pool model has internal dimensions of 15 cm, 10 cm, and 2.5 mm. Calculate how many hectoliters of water will be needed to fill a pool that will build according to this model.
Wood material
Calculate the weight of a block measuring 15 cm, 7.5 cm, and 10 cm made of: a) oak wood (ρ = 800 kg/m³), b) spruce wood (ρ = 550 kg/m³).
Cube pyramid volume
The cube ABCDEFGH has an edge of length 3 cm. Calculate the volume of the pyramid ABCDH.
Sphere diameter
The sphere has a diameter of 70 cm. Calculate its surface area and volume.
A prism
A prism with an altitude of 15 cm has a base in the form of a regular octagon inscribed in a square of 10 cm x 10 cm. Find the volume of the prism.
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.
Scooter distance directions
Kate and John set out on their scooters at the same time. Kate rode at a speed of 4.5 km/30 min, and John rode at a speed of 4 km/20 min. a) How many meters did they travel in 2 minutes if they went in opposite directions? b) How far apart were they when
Prism volume edge
Calculate the volume of a regular triangular prism whose height is equal to the length of the base edge. Calculate the volume for the edge length a = 6 cm.
Equilateral cone
The axial section of the cone is an equilateral triangle with a side of 12 cm. Surface and volume calculation.

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