# Solid geometry + area - practice problems

#### Number of problems found: 589

- 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? - The water tank

The water tank has the shape of a sphere with a radius of 2 m. How many liters of water will fit in the tank? How many kilograms of paint do we need to paint the tank, if we paint with 1 kg of paint 10 m²? - Cubes

Surfaces of cubes, one of which has an edge of 48 cm shorter than the other, differ by 36288 dm². Determine the length of the edges of this cubes. - Roll of wallpaper

An art student uses a roll of wallpaper to decorate two gift boxes. The student will use 3 1/3 yards of paper for one box and 5/6 yard of paper for the other box. The paper must be cut into pieces that are 1/6 yard long. How many pieces will the student c - Cube

The sum of all cube edges is 30cm. Find the surface area of the cube. - Copper plate

Calculate the thickness of the copper plate with a density 8.7 g/cm³ measuring 1.5 meters and 80 cm and its weight is 3.65 kg - Cube edges

The sum of the lengths of the cube edges is 42 cm. Calculate the surface of the cube. - Container

The container has a cylindrical shape the base diameter 0.8 m and the area of the base is equal to the area of the wall. How many liters of water can we pour into the container? - Chemical drum

A cylinder chemical drum is 220.5cm long and the radius of the drum is 42cm. Calculate the cost of painting the drum at the rate of RS.0.15/cm². - Water reservoir

What is the weight of a metal reservoir - cylinder with a diameter of 2 m and a length 8 m, if 1 m² of sheet metal weighs 100 kg? - Flower boxes

How many m² of 10mm thick boards are needed to make 12 flower boxes? The dimensions of the box are 180,150 and 1500 mm. - Iron ball

The iron ball weighs 100 kilograms. Calculate the volume, radius, and surface if the iron's density is h = 7.6g/cm³. - Cans

How many m² of metal sheet is needed to produce 20,000 cans in the shape of a cylinder with a base radius and a height of 5 cm. - Aquarium

There is 15 liters of water in a block-shaped aquarium with internal dimensions of the bottom of 25 cm and 30 cm. Find the volume of water-wetted surfaces. Express the result in dm square. - A spherical segment

The aspherical section, whose axial section has an angle of j = 120° in the center of the sphere, is part of a sphere with a radius r = 10 cm. Calculate the cut surface. - Surface of the cuboid

Find the surface of the cuboid if its edges have the dimensions a, 2/3a, 2a. - Two walls

Calculate the surface area of a cube in m² if you know that the area of its two walls is 72 dm². - Prism 4 sides

Find the surface area and volume four-sided prism high 10cm if its base is a rectangle measuring 8 cm and 1.2dm - Half-sphere roof

The roof above the castle tower has the shape of a 12.8 m diameter half-sphere. What is this roof's cost if the cost of 1 square meter is 12 euros and 40 cents? - Cardboard

How many m² of cardboard are needed to make the cuboid with dimensions 40 cm 60 cm and 20 cm?

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Solid geometry, stereometry. Area - practice problems.