# Unit conversion + surface area - math problems

#### Number of problems found: 86

• Empty aquarium How much does an empty aquarium weigh with dimensions: length = 40 cm, width = 30 cm, height = 20 cm, if 1 dm2 of glass weighs 300 g? Calculate its weight in kilograms.
• 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.
• Cloth / textile We have cloth measure 16 square meters. How many 20 cm by 20 cm by 8 cm bags you can make? Assume bag is a cuboid without one top base.
• Triangular prism The regular triangular prism has a base edge of 8.6 dm and a height of 1.5 m. Finf its volume and surface area.
• 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.
• Find the Find the pressure exerted by a crawler tractor of mass 30 t standing on a horizontal road if the content of the contact surface of the belts with the ground is 6 m square.
• Flowerpot The block-shaped flowerpot has external dimensions: length 1.25 m, width 10 cm, and height 11 cm. The thickness of the boards from which it is made is 0.8 cm. How many liters of soil is needed to fill it 1 cm below the top edge? What surface do we have to
• Insulate house The property owner wants to insulate his house. The house has these dimensions 12, and 12 m is 15 m high. The windows have 6 with dimensions 170 and 150 cm. Entrance doors are 250 and 170 cm in size. How many square meters of polystyrene does he need?
• Diver Please calculate using Pascal's law. The window of the diving helmet has a surface content of about 7dm2. Calculate what pressure force acts on the window at a depth of 20 meters below the water surface.
• Cone - from volume surface area The volume of the rotating cone is 1,018.87 dm3, and its height is 120 cm. What is the surface area of the cone?
• Cone - side Find the cone's surface area and volume if its height is 125 mm and the side length is 17 cm.
• Truncated pyramid The concrete pedestal in the shape of a regular quadrilateral truncated pyramid has a height of 12 cm, the pedestal edges have lengths of 2.4 and 1.6 dm. Calculate the surface of the base.
• Sphere in cone A sphere is inscribed in the cone (the intersection of their boundaries consists of a circle and one point). The ratio of the surface of the ball and the contents of the base is 4: 3. A plane passing through the axis of a cone cuts the cone in an isoscele
• Milk cartons How much paper do we need for 12 tetra packs with dimensions 6 cm, 11 cm, and 20 cm? Will 1 liter of milk fit in the box?
• Four prisms Question No. 1: The prism has the dimensions a = 2.5 cm, b = 100 mm, c = 12 cm. What is its volume? a) 3000 cm2 b) 300 cm2 c) 3000 cm3 d) 300 cm3 Question No.2: The prism base is a rhombus with a side length of 30 cm and a height of 27 cm. The height of t
• Two walls Calculate the surface area of a cube in m2 if you know that the area of its two walls is 72 dm2.
• 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.
• Largest wall Find the content of the largest wall of a prism with a rectangle base with a height of 4 dm, side c = 5 cm, and side b = 6 cm.
• Metal sheets How much metal sheet is needed to produce 8 gutters 4 m long and 12 cm in diameter? During production, joints calculate at 3% of total consumption. Calculate the surface of a quadrilateral prism according to the input: Area of the diamond base S1 = 2.8 m2, length of the base edge a = 14 dm, height of the prism 1,500 mm.