Surface area - high school - practice problems - page 6 of 13
Number of problems found: 259
- Rectangular garden 2
A farmer bought 600 m of wire for the fence. He wants to use it to besiege a rectangular garden with a surface of 16875 m². Calculate the size of the garden. - Calculate 8326
Calculate the cone shell with a base diameter of 40 cm and a cone height of 50 cm. - Quadrilateral 8304
The base of the quadrilateral prism is a diamond with diagonals of 7 and 9 cm. The height of the prism is 22 cm. What is the area? - The diagram 2
The diagram shows a cone with a slant height of 10.5cm. If the curved surface area of the cone is 115.5 cm². Calculate to correct three significant figures: *Base Radius *Height *Volume of the cone
- Quadrilateral 8221
Calculate the height and surface of a regular quadrilateral pyramid with a base edge a = 8 cm and a wall height w = 10 cm - Gravitation
From the top of the 80m high tower, the body is thrown horizontally with an initial speed of 15 m/s. At what time and at what distance from the foot of the tower does the body hit the horizontal surface of the Earth? (use g = 10 ms-2) - Pyramid-shaped 8176
A block-shaped shed is covered with a quadrilateral pyramid-shaped roof with a base with sides of 6m and 3m and a height of 2.5m. How many m² (square meters) must be purchased if an extra 40% is calculated for roofing and waste? - Spherical cap 4
What is the surface area of a spherical cap, the base diameter of 20 m, and the height of 2.5 m? Calculate using the formula. - Spherical cap
Place a part of the sphere on a 4.6 cm cylinder so that the surface of this section is 20 cm². Determine the radius r of the sphere from which we cut the spherical cap.
- Block-shaped 7976
A block-shaped pool with a volume of 200m³ is to be built in the recreation area. Its length should be 4 times the width, while the price of 1 m² of the pool bottom is 2 times cheaper than 1 m² of the pool wall. What dimensions must the pool have to make - Prism diagonal
The body diagonal of a regular square prism has an angle of 60 degrees with the base, and the edge length is 10 cm. What is the volume of the prism? - Dimensions 7912
How many blocks have integer dimensions of the edges of the surface is 48 m²? - Four-sided 7910
The roof of the recreation cottage has the shape of a regular four-sided pyramid with a height of 8m and a base edge of 4m. How much ℅ went to folds and joints, and 75.9 square meters of sheet metal were used to cover the roof? - Lampshade 7846
Lampshade for the face of a truncated cone with a height of 20 cm. The upper diameter of the shade is 13 cm, the lower 36 cm, and the side forms an angle of 60 degrees with the lower diameter. At least how much fabric is needed to make this shade?
- Pyramid-shaped 7820
The pyramid-shaped tent has a square base with a side size of 2.2m and a height of 1.8m. How many square meters of tent canvas are needed to make it if we count an extra five percent for the foundation? - The observatory
The dome of the hemisphere-shaped observatory is 5.4 meters high. How many square meters of sheet metal need to be covered to cover it, and must we add 15 percent to the minimum amount due to joints and waste? - Quadrilateral 7815
The area of the mantle of a regular quadrilateral pyramid is equal to twice the area of its base. Calculate the pyramid's volume if the base edge's length is 20 dm. - Calculate 3
Calculate the cube volume whose edge is 3x-1,3x-1,3x-1 - Rectangle 7768
The base of a cuboid is a rectangle. The ratio of its length to width is 3:2. The length of the rectangle of the base is in the ratio of 4:5 to the height of the block. The sum of the lengths of all the edges of the block is 2.8m. Find: a) the surface of
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Examples for secondary school students. Examples for the calculation of the surface area of the solid object .