Practice problems of the area of a shape - page 104 of 108
The area is the quantity that expresses the extent of a two-dimensional shape. The area can be understood as the amount of paint necessary to cover the surface with a single coat. The area of a shape can be measured by comparing the shape to squares of a fixed size 1 m2 or 1 cm2 etc. Every unit of length has a corresponding unit of area. We can measure areas in square meters (m2), square centimeters (cm2), square millimeters (mm2), square kilometers (km2), square feet (ft2), square yards (yd2), square miles (mi2), and so forth.The area of a shape is the “space enclosed within the perimeter or the boundary” of the given shape.
Number of problems found: 2144
- Diameter 27713
The column for posters in the cylinder shape is 2.3 m high, and its diameter is 1.2 m. What is the area on which the posters can be glued? - Triangular 6950
A triangular prism has the base of a right triangle with 6 dm and 8 dm legs and a hypotenuse of 10 dm. The height of the prism is 40 dm. What is the volume of a prism? - Centimeters 6593
What is the height of a prism with the base of a right triangle with squares of eight centimeters and ten centimeters and a volume of 0.098 cubic decimetres? - Rotary cylinder
The rotating cylinder has a surface area of 69.08 cm². The area of the shell is 62.8 cm ². What is the diameter of the cylinder?
- Hexagonal pyramid
Calculate a regular hexagonal pyramid's volume and surface area with a base edge a = 30 m and a side edge b = 50 m. - Water depth
How many square meters of the inside of the pool wet the water if the pool is 25 meters long and 10 meters wide and the water depth is 1.2 meters everywhere? - Diameter
What is the inside diameter of the cylinder container if half a liter of water reaches a height of 15 cm? - Square prism
Calculate the volume of a square prism of high 2 dm wherein the base is: Rectangle with sides of 17 cm and 1.3 dm - Calculate 82689
A cone of rotation with a radius of 24 cm and a height of 36 cm is given. Calculate the surface area and volume.
- Cylinder 80733
How tall is a cylinder whose shell has a volume equal to the base? What is the volume of this cylinder? - Perimeter 64974
The prism has a square base with an edge 5 cm long and 20 cm high. Calculate it: (a) the area of the base b) the perimeter of the base c) volume d) surface - Quadrilateral 41061
A quadrilateral pyramid has a square base 4 cm long, the height of the pyramid 5 cm, and the height of the wall 5.4 cm. Find the surface and volume of a quadrilateral pyramid. - A cone 2
A cone has a slant height of 10 cm and a square curved surface area of 50 pi cm. Find the base radius of the cone. - Four-sided prism
Find the surface area and volume of a four-sided prism high 10cm if its base is a rectangle measuring 6cm and 1.4dm.
- The surface
The surface of the cylinder is 1570 cm²; its height is 15 cm. Find the volume and radius of the base. - Edge of prism
The regular quadrilateral prism has a surface of 250 dm². Its shell has an area of 200 dm². Calculate its leading edge. - Fountain
The stone fountain, which has the shape of a cylinder with a diameter of 3 m, is 70 cm deep. How many m² of stone is wetted with water? - Pyramid height
Find the volume of a regular triangular pyramid with edge length a = 12cm and pyramid height h = 20cm. - Equilateral tetrahedral pyramid
The base edge of a regular tetrahedral pyramid is a = 4 cm. base and walls are equilateral. Calculate the surface of this pyramid.
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