Volume - practice for 13 year olds - page 15 of 51
Number of problems found: 1010
- Determine 46401
The volume of the sphere is 20% larger than the volume of the cone. Find its surface if the volume of the cone is 320 cm³. - An architect 2
An architect is designing a house. He wants the bedroom to have the dimensions of 8 ft by 4 ft by 7 ft. The architect doubles all three dimensions to create the den. Does that mean the den will have double the volume of the bedroom? First, find the volume - Cylinder from paper
From a rectangle measuring 20 x 30 cm, we roll a cylinder with a height of 30 cm. Find its volume and surface. - Instructions 46331
According to the instructions, you need to add two and a half scoops of ecological cleaning agent to 10 liters of water. The measuring cup is a cap with a volume of 50 ml. Determine the ratio in which this agent is mixed with water - The volleyball ball
The volleyball ball can have a circumference of at least 650 max 750 mm after inflation. What air volume can this ball hold if its circumference is the average of the minimum and maximum inflation of the ball? - Measuring 46271
Calculate the weight of a block measuring 15 cm, 7.5 cm, and 10 cm made of a) oak wood (ρ = 800 kg/m³), b) spruce wood (ρ = 550 kg/m³). - Length 46191
We poured 12 l of water into a cube with an edge length of 30 cm. How high is the water level? - The solar
The solar heating tank has the shape of a rotating cylinder. When the tank is in a horizontal position, the water in the tank wets 4/5 of each tank base. If we place the tank in a vertical position, the water in the tank will reach up to 1.2 m. Calculate - Calculate 45991
Calculate the radius of a sphere with the same volume as a cone with a radius of 5cm and a height of 7cm. - A box 2
A box has a length of 4 1/2 inches, a width of 3 2/3 inches, and a height of 8 1/4 inches. What is the volume of the box? - Corresponding 45611
The volume of the triangular prism is 200 dm3, and the base is a triangle with a side of 10 dm and its corresponding height of 5 dm. Calculate the height of the prism. - Trapezoidal base
Calculate the surface and volume of a quadrilateral prism with a trapezoidal base, where a = 7 cm, b = 4 cm, c = 5 cm, d = 4 cm, height of trapezium v = 3.7 cm and the height of the prism h = 5 cm. - Axial section
Calculate the volume and surface of a cone whose axial section is an equilateral triangle with side length a = 18cm. - Top-open tank
The top-open tank has the shape of a truncated rotating cone, which stands on a smaller base. The tank's volume is 465 m3, and the radii of the bases are 4 m and 3 m. Find the depth of the tank. - The truncated
The truncated rotating cone has bases with radii r1 = 8 cm, r2 = 4 cm and height v = 5 cm. What is the volume of the cone from which the truncated cone originated? - The golf
The golf ball with a diameter of 43 mm is packed in a cube-shaped box. What percentage of the box volume is made up of a ball? - Approximately 44671
A granite monument in the shape of a pyramid with a rectangular base will be placed in the city park. The base dimensions are 60 cm and 110 cm, and the pyramid height is 220 cm. The density of granite is approximately 2800 kg/m³. Calculate the weight of t - Heat transfer
We placed a lead object weighing 0.4 kg and 250°C in 0.4 L water. What was the initial temperature of water t2 if the object's temperature and the water after reaching equilibrium was 35°C? We assume that the heat exchange occurred only between the lead o - Fertilizer
I have 4 liters of 10% fertilizer. How much water do I need to add to have a 2% solution? - Quadrilateral 44561
The regular quadrilateral pyramid has a volume of 212 m³ and a base edge a = 7.2 m. Calculate the surface area and height of the pyramid.
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