Volume - math word problems - page 52 of 128
Number of problems found: 2549
- Barrel keg filling
Behind the house stands a barrel with 0.25 hectoliters of water. The father gradually takes 12 liters of fragile water from it for watering until the last 10 liters of water remain at the bottom. At most, how many full kegs could the father fill from this - Six-tonne truck
The platform of a six-tonne truck is 2.20 m wide and 4.20 m long; the side panels are 0.75 m high. How many cubic metres of gravel could be loaded onto the truck with the load levelled to the top of the side panels? How deep a layer of gravel can be loade - Roof repair
To repair the roof, we need 15 pieces of boards 6 m long, 15 cm wide, and 25 mm thick. If 1 m³ of boards costs 500 euros, how many euros will we pay for all the boards? - Ice volume calculation
What is the volume of 320 kg of ice floes in liters? - Concrete column
A concrete column for a motorway bridge is a cuboid with dimensions 1 m × 0.8 m × 25 m. A crane must lift it to a height of 20 m. What is the minimum power of the crane's engine if the lift takes 2 minutes? - Pentagonal pyramid
Find the volume and surface of a regular pentagonal pyramid with a base edge a = 12.8 cm and a height v = 32.1 cm. - Convex lens
The convex lens consists of two spherical segments (dimensions given in mm). Calculate its weight if the density of the glass is 2.5 g/cm³. Dimensions: 60 mm in length and width of the upper part 5 mm, the width of the lower part 8 mm - Block volume calculation
Block area: S = 376 cm² the sides are in the ratio a: b: c = 3:4:5 calculate its volume - Cone paint calculation
Forty identical traffic cones with base diameter d = 36 cm and height v = 46 cm are to be painted orange on the outside (without base). How much do we pay for paint if we need 500 cm³ of paint to paint 1 m² and 1 liter of paint costs CZK 8? - Gold cube distribution
The king cannot decide how to distribute 4 cubes of pure gold, which have edges of length 3 cm, 4 cm, 5 cm, and 6 cm, to two sons as fairly as possible. Design a solution so that the cubes do not have to be cut. - Tank painting calculation
We painted a closed cube-shaped oil tank with an edge length of 1.5 meters twice with a protective coating. How many kilograms of paint did we use if 1 kg of paint is enough for 10 square meters? How many liters of oil are in the tank if it is filled to t - Wooden bowls
Twenty wooden bowls in the shape of a truncated cone should be painted on the outside and inside with wood varnish. We need 0.1 l of paint to paint 200 cm². How many liters of paint do we have to buy if the bowls are 25 cm high, the bottom of the bowl has - Cone volume surface
Calculate the volume and surface of a cone with a base diameter of 10 dm and a side of 13 dm. - 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, Jane modeled a rotating cone with a base diameter of 10 cm. How tall was Jane's cone?
- Two vases
Michaela has two vases in her collection. The first vase has the shape of a cone with a base diameter of d = 20 cm; the second vase has the shape of a truncated cone with a lower base of d1 = 25 cm and a diameter of the upper base d2 = 15 cm. Which vase c - Ball reservoir capacity
The inner diameter of the ball-shaped reservoir is d = 12 m. Can it hold 900 m³ of water? - Pool water calculation
The bottom of the garden pool of circular cross-section has an inner diameter of d = 4 m. The water depth is 0.8 m. How many liters of water can we fill into the pool? - 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. - Cube dimension calculation
The cube has an area of 486 dm². Calculate the length of its side, its volume, the length of the body, and wall diagonals. - Aquarium
How many litres of water can fit in an aquarium measuring 30 cm × 15 cm × 20 cm?
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