Area of Square Problems - page 63 of 81
Number of problems found: 1612
- Pizza
Pizza with a diameter of 40 cm weights 409 g. What diameter will a pizza weigh 764 g made from the same cloth (same thickness) and decorated? - Axial section
The axial section of the cylinder is diagonal 45 cm long, and we know that the area of the side and the base area are in the ratio 6:5. Calculate the height and radius of the cylinder base. - Rotary cone
The volume of the rotation of the cone is 733 cm³. The angle between the side of the cone and the base angle is 75°. Calculate the lateral surface area of this cone. - The cap
A jester's hat is in the shape of a cone. Calculate how much paper is needed to make a hat 53 cm tall for a head circumference of 45 cm. - Prism height calculation
A regular triangular prism with a base edge of 35 cm has a volume of 22.28 l. Calculate its height. - Posters on Cone
The stand on which the posters are stuck has the shape of a cone. It is 2.4 m tall. The side of the cone is 2.5 m long. How many 40cmx60 cm posters can be stuck on the stand so they do not overlap? - Pentagonal pyramid
The height of a regular pentagonal pyramid is as long as the edge of the base, 20 cm. Calculate the volume and surface area of the pyramid. - Perimeter of a triangle
A triangle has the shortest side a=5 cm, the middle side b, and the longest side c=10 cm. A square has a side x=7 cm, which is as long as the side b of the mentioned triangle. A cuboid has a height of 12 cm, a length the same as the longest side of the tr - Barrel paint calculation
How many kg of paint do you need to buy to paint a 1.5 m high cylinder-shaped rainwater cover with a 0.7 m radius? We paint the barrel from the outside and inside, and 100 grams of paint is needed to paint 1 square meter. - Triangular prism
The triangular prism has a base in the shape of a right triangle, the legs of which are 9 cm and 40 cm long. The height of the prism is 20 cm. What is its volume cm³? And the surface cm²? - The tent
The tent has the shape of a regular square pyramid. The edge of the base is 3 m long, and the tent's height is 2 m. Calculate how much cover (without a floor) is used to make a tent. - Spruce wood
Calculate the weight of an edge made of spruce wood 6 m long when the cross-section of the edge is 146 cm square and if the density of the wood is 0.55 grams/cm cubic. - Pyramid Roof Sheet Metal
The roof of the recreation cottage has the shape of a regular four-sided pyramid with a height of 8 m and a base edge of 4 m. How much ℅ went to folds and joints, and 75.9 square meters of sheet metal were used to cover the roof? - Gas tank capacity
The gas tank is a sphere with a diameter of 17.8 m. How many cubic meters of gas can it hold? If 1 kg of paint is enough to paint about 6 square meters, how many kilograms of paint are needed to paint a gas tank? - Cube cut
The edge of the CC' guides the ABCDA'B'C'D'cube, a plane that divides the cube into two perpendicular four-sided and triangular prisms, whose volumes are 3:2. Determine which ratio the edge AB divides by this plane. - Table leg painting
The carpenter needs to make 4 wooden legs for the table, which have the shape of a regular 4-sided prism with dimensions of 9 cm × 9 cm × 60 cm. He will paint them all over with white paint. How many m² of surface must be painted? - Triangular prism
The curved part of the rotating cylinder is four times larger than the area of its base. Determine the volume of the regular triangular prism inscribed in the cylinder. The radius of the bottom of the cylinder is 10 cm. - Calculate cylinder
A cylinder has a volume V = 120 cm³ and a height v = 4 cm. Calculate the radius and the lateral surface area S. - Hexagonal prism
The box of a regular hexagonal prism is 4 cm high, and the lid has sides 20 cm long. How much cardboard is needed to make it? (No part is double) - Truncated pyramid
How many cubic metres is the volume of a regular quadrilateral truncated pyramid with base edges of one metre and 60 cm and a height of 250 mm?
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