# Surface area + expression of a variable from the formula - practice problems

#### Number of problems found: 201

- Base side

In a quadrilateral prism, are known surface area S = 12400 mm² base side m = 40mm and prism height = 120mm, what is the length of base side n =? - The surface

The surface of the cylinder is 1570 cm^{2}, its height is 15 cm. Find its volume and radius of the base. - The surface

The surface of a truncated rotating cone with side s = 13 cm is S = 510π cm². Find the radii of the bases when their difference in lengths is 10cm. - The block

The block, the edges formed by three consecutive GP members, has a surface area of 112 cm². The sum of the edges that pass through one vertex is 14 cm. Calculate the volume of this block. - The cylinder

In a rotating cylinder it is given: the surface of the shell (without bases) S = 96 cm² and the volume V = 192 cm cubic. Calculate the radius and height of this cylinder. - Rotary cylinder

In the rotary cylinder it is given: surface S = 96 cm² and volume V = 192 cm cubic. Calculate its radius and height. - Cuboid - ratio

Find the volume of a block whose dimensions are in the ratio 2: 3: 4 and the surface is 117 dm². - Hard cone problem

The surface of the cone is 200 cm², its height is 7 centimeters. Calculate the volume of this cone. - The cube

The cube has a surface of 600 cm². What is its volume? - Wooden bowls

20 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 a d - Surface of the cuboid

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

Find the edge c of cuboid if an edge a = 20 mm, b = 30 mm and surface area S = 8000 mm². - Cube V2S

The volume of the cube is 27 dm cubic. Calculate the surface of the cube. - The volume

The volume of the sphere is 1 m^{3}, what is its surface? - Shell area cy

The cylinder has a shell content of 300 cm square, while the height of the cylinder is 12 cm. Calculate the volume of this cylinder. - The cylinder

The cylinder has a surface area of 300 square meters, while the cylinder's height is 12 m. Calculate the volume of this cylinder. - Twice of radius

How many times does the surface of a sphere decrease if we reduce its radius twice? - Cube surfce2volume

Calculate the volume of the cube if its surface is 150 cm². - The cube

The cube has a surface area of 216 dm². Calculate: a) the content of one wall, b) edge length, c) cube volume. - Eight

Eight small Christmas balls with a radius of 1 cm have the same volume as one large Christmas ball. What has a bigger surface: eight small balls, or one big ball?

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Examples for the calculation of the surface area of the solid object . Expression of a variable from the formula - practice problems.