Rectangle + prism - practice problems
Number of problems found: 78
- Iceberg
What is the surface area of a 50 cm iceberg (in the shape of a cuboid) that can carry a man with luggage with a total weight of 120 kg? - Metal rails
Dad needs to improve the edges of the wooden boxes - to be reinforced with metal rails. How many cms of rails will he need if the box has the shape of a prism with the length of the edges 70cm, 70cm, and 120cm? - Dimensions 13671
How high does a prism with the dimensions of the base 1.7 dm and 5 dm reach if it fits 1032 dm³? - Prism 4 sides
Find the surface area and volume four-sided prism high 10 cm if its base is a rectangle measuring 8 cm and 1.2 dm.
- 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 cuboid's surface area is 1714 cm2, and the edges of the base are 25 cm and 14 cm long. Find the area of the surface. - Indoor aquarium
World's biggest indoor aquarium. In its enormous tank with the capacity represented by the following polynomial V=4x³+43x²+63x The aquarium is rectangular prism shape. Find the following: 1. If the aquarium's height is x, then find the area of the base (B - Painting a hut
It is necessary to paint the exterior walls of the hut, whose layout is a rectangle of 6.16 m x 8.78 m wall height is 2.85 meters. The cottage has five rectangular windows; three have dimensions of 1.15 m x 1.32 m and two 0,45 m x 0.96 m. How much m² is n - Dimensions 4139
We want to cover all the kitchen walls with square tiles with a side of 15 cm up to a height of 1.2 m. The kitchen has two doors, the frames of which are 90 cm wide. How many tiles will we buy if we expect a loss of 5% and the floor's dimensions are 3.2 m
- Faces diagonals
If a cuboid's diagonals are x, y, and z (wall diagonals or three faces), find the cuboid volume. Solve for x=1.3, y=1, z=1.2 - Block-shaped 8378
How much paint does Peter use to paint a block-shaped sheet metal garage (without the lower base) with dimensions of 8m, 5.5m, and a height of 2.5m, if 1kg of paint is enough for a 4m square area? - Calculate 2548
Calculate the volume of a wooden box in the shape of a prism with the base of a rectangle if the box's width is 8 dm, the length is 14 dm, and the size of the body diagonal is 25 dm. - Right-angled 4951
Calculate the volume and surface area of the body that is created by cutting out a three-sided prism of the same height from a cuboid with dimensions of 10 cm, 15 cm, and 20 cm, whose base is a right-angled triangle with dimensions of 3 cm, 4 cm, and 5 - Cross-section 5558
How many m² of sheet metal is needed to cover 4 m high chimneys with a rectangular cross-section with dimensions of 2.5 m and 1.2 m? Add 1/20 to the folds.
- Classroom 62353
The classroom is 11 m long. The width is 6.5 m, and the height is 4 m. We will pay CZK 7.50 for 1 m of square painting. How much will it cost to paint a classroom? They rounded to the crowns. - Uboid volume
Calculate the cuboid volume if the walls are 30cm², 35cm², 42cm² - Cutting the prism
A prism with a square base with an area of 1 cm² and a height of 3 cm was cut from a cube with an edge length of 3 cm. What is the body's surface formed from the cube after cutting the prism? - Dimensions 6662
How many square meters of wallpaper do we need to glue the room walls with dimensions of 3 m and 4 m if the room's height is 2.5 m? - Calculate 19543
Calculate the surface of a prism with a square base whose mantle is a rectangle with sides of 18cm and 8cm. How many solutions does the task have? List all solutions.
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