Prism - practice for 13 year olds - page 11 of 15
Number of problems found: 286
- Block-shaped tank
The block-shaped tank has dimensions of 320 cm, 50 cm, and 180 cm. 1. How much water can fit in it? 2. It was 45% filled. How much water was in it? - Quadrilateral prism
Calculate the volume and surface area of a regular quadrilateral prism with base edge a=24 cm if the space diagonal makes an angle of 66° with the base. - Dimensions - crate
A wooden crate with dimensions d=3 m, e=4 m, and f=3 m was placed in a transport container with dimensions a=10 m, b=4 m, and c=3 m. What is the maximum length of a straight, rigid rod of negligible diameter that can still be placed in the container in th - Cuboid surface calculation
We have a block with a square base and a height of 12 dm. We know that its volume is 588 cubic dm. Calculate the surface area of a cuboid with the same base but 2 cm more height. You write the result in dm². - Diagonals of a prism
The base of the square prism is a rectangle with dimensions of 3 dm and 4 dm. The height of the prism is 1 m. Find out the angle between the body diagonal and the base's diagonal. - Pole painting calculation
The gardener used 18 poles with a base of 15.15 cm and a height of 150 centimeters to fence the plot. Calculate how much paint he will need to paint the columns twice. One kilogram of paint covers eight square meters. - Prism - box
The prism's base is a rectangle with a side of 7.5 cm and 12.5 cm diagonal. The volume of the prism is V = 0.9 dm³. Calculate the surface of the prism. - Regular 4BH
A regular quadrilateral prism has a volume of 864 cm³ and its total surface area is twice the area of its base. Determine the length of its space diagonal. - Water level
How high is the water in the swimming pool with dimensions of 37 m in length and 15 m in width if an inlet valve is opened for 10 hours, flowing 12 liters of water per second? - Angle of diagonal
The angle between the body diagonal of a regular quadrilateral and its base is 60°. The edge of the base has a length of 10 cm. Calculate the body volume. - Longest rod
The toolbox has internal dimensions, a length of 1.5 meters, a width of 80 cm, and a height of 6 dm. Calculate the longest rod we can hide in this box. - Tank filling time
How many hours will a tank with a rectangular bottom with a capacity of 105.5 m² and a depth of 2 m be filled when 12 hl of water flows through the pipe in one hour? - Box volume
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. - Gift wrapping paper
The sheet of wrapping paper measures 100 cm and 70 cm. Is it enough to wrap a gift in a block-shaped box with dimensions of 40 cm, 25 cm, and 20 cm? - 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? - Block volume ratio
The block surface is 5.632 m². The lengths of the edges are in the ratio 1: 2 : 3. Calculate the volume of the cuboid. - Sand path
How much m³ of sand is needed to fill the 1.5 m wide path around a rectangular flowerbed of 8 m and 14 m if the sand layer is 6 cm high? - Trench
The trench is a four-sided prism. The cross-section has a trapezoidal shape with bases of 4 m and 6 m, and the length of the trench is 30 m. What is the depth of the trench if we dig 60,000 l of soil? - Prism
A right-angled prism, whose base is a right triangle with leg a = 3 cm and hypotenuse c = 6 cm, has the same volume as a cube with an edge length of 1 dm. a) Find the height of the prism b) Calculate the surface of the prism c) What percentage of the cube - Cuboid's diagonal
The cuboid has a body diagonal u=25 cm, and side b is one-third longer than side a. What is the volume of the cuboid?
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