Surface Area Calculation Problems for Solid Shapes. - page 28 of 53
Number of problems found: 1047
- Prism
Calculate the height of a prism with a total surface area of 448.88 dm² and a square base with a side of 6.2 dm. What is its volume in hectolitres? - Body diagonal
The cuboid has a volume of 32 cm³. Its side surface area is double that of one of the square bases. What is the length of the body diagonal? - Diamond prism
The prism's base is a diamond with a side length of 6 cm and a height of 4 cm. The height of the prism is 125% greater than the length of the side of the diamond. Calculate the surface area and volume of the prism. - Cuboid - edges The cuboid has dimensions in a ratio of 4:3:5. The shortest edge is 12 cm long. Find: The lengths of the remaining edges The surface of the cuboid The volume of the cuboid
- Regular triangular prism
Calculate the surface area of the body of a regular triangular prism when the length of its base edge is 6.5 cm, and its height is 0.2 m. - Room painting cost
The painter will paint a room 7 m long, 4.5 m wide, and 3 m high. He charges CZK 27 per 1 m². How much do we pay painters to paint a room? - Billboard rental
The municipality collects a fee of CZK 500 for 1 m of square billboard space. How much will he earn if he rents a cylinder-shaped column with a diameter of 2 m and a height of 3 m to stick posters? - Cone container
The Rotary cone-shaped container has a volume of 1000 cubic cm and a height of 12 cm. Calculate how much metal we need to make this package. - Prism volume
Determine the volume and surface of a prism with the base of a right triangle if the perpendiculars are: a is 1.2 cm. b is 2 cm. The height of the body is 0.3 dm. - Pyramid 8
Calculate the volume and the surface area of a regular quadrilateral pyramid with a base side of 9 cm and a side wall with the base has an angle of 75°. - Colour - billboard
The billboard has the shape of a parallelogram. Its length is 4.9 m, and its corresponding height is 3.5 meters. Calculate how much (kg) paint must be purchased for redecoration if 1 kg covers 4 m² of the billboard surface. - Tetrahedral pyramid
Calculate the volume and surface area of a regular tetrahedral pyramid; its height is $b cm, and the length of the edges of the base is 6 cm. - Cube zoom
If we magnify the cube's edge by 47 %, how many percent does this increase the cube's volume and surface? - Ratio 52
The ratio of the surface area of a cube to its volume is 2:1. Calculate: a) the edge length of the cube in cm, b) the volume of the cube in cm³, c) the surface area of the cube in cm². - Triangle and Cone
A right triangle has legs 3 cm and 4 cm long. Cone A was created by rotating this triangle around the longer leg, and cone B by rotating it around the shorter leg. Which cone has: a) a larger volume? b) a smaller lateral surface area? c) a larger total su - Quadrilateral prism
Calculate the surface and volume of a quadrilateral prism if given: the area of the base is 40 cm², the bottom of the base is k = 8 cm, and the height of the prism is 1.3 dm (the bottom is a rectangle) - GP - edge lengths
The block edge lengths are made up of three consecutive GP members. The sum of the lengths of all edges is 84 cm, and the volume block is 64 cm³. Determine the surface of the block. - Cone paper
Pepíček went to school on the first day. Dad made him a paper cone for sweets in the shape of a cone with a side length of 50 cm and a base radius of 10 cm. How many cm² of paper did he need to make the cone? - Quadrilateral pyramid
In a regular quadrilateral pyramid, the length of the base edge is a = 8 cm, and the length of the side edge is h = 17 cm. Calculate the surface of the pyramid. - Circumscribed hexa prism
The regular hexagonal prism is 2 cm high. The radius of the circle circumscribed by the base is 8 cm. Determine its volume and surface.
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