Solid geometry - practice for 12 year olds
Number of problems found: 845
- Building blocks
Rosa bought a set of building blocks for her younger brother, Owen, for his birthday. Owen opened the gift and immediately used all 35 blocks in the set to build a tower shaped like a rectangular prism. Each block is a cube that is 1 1/2 inches along each - The height 4
The height and radius of a cylinder are 25 ft and 5 ft, respectively. What is the surface area? - Helium balloon
Oscar needs to fill a sphere-shaped balloon with helium. If the balloon has a diameter of 8 inches, what is the total amount of helium that the balloon will hold to the nearest tenth? - Box/cuboid
What is the volume of a box with these dimensions: H = 1.5 dm W = 3.5 dm L = 45 cm Give your answer in dm³ and round to the nearest tenth.
- Tomato plant
Bruce's grandmother loves to use fresh tomatoes in her homemade pasta sauce. Bruce thought she might like to grow her own, so he bought her a planter box and a tomato plant. The planter box is shaped like a rectangular prism. It is 12 1/2 inches long, 10 - A water 2
A water tank is 2m long, 1.9m wide, and 964 mm deep. How much water will it hold? Answer in liters. 2nd question: A tank that is 2.5 m long and 1.5m deep holds 6.75 cubic meters of water. What is its width? - The volume 7
The volume of a cylindrical can is 75.36 in³. The diameter is 4 inches. Find the height. Use 3.14 as an estimation for pi. - A rectangular 9
A rectangular tank measuring 50 cm by 54 cm by 40 cm is 3/5 filled with water. 21.6L of the water is removed. What is the volume of water left in the tank? Give your answer in liters. - A cube 3
A cube of edge 100 cm has the same volume as a cube of edge 1 m. how many cubic centimeters make 1 cubic meter?
- Januka
Januka and her father were going to the tent. They found that their old tent was torn. Their mother suggested that they sew a tent whose walls would be made of 4 identical isosceles triangles. Their lower side is 2 m long, and the height is also 2 m. Then - A piece 7
A piece of dry ice is in the shape of a cube with edge lengths of 7cm. Find the surface area of the dry ice. - The cup
In a measuring cup set, the cup measure is 6 cm wide. The set also contains a 1-cup measure and a cup measure, both of which are similar in shape to the cup measure. Find the width of: a) 1/2 cup b) the 1 cup measure c) the 1/3 cup measure. - Height of the box
The box needs to have a volume of 108 ¾ cubic inches. If its width is 7 ¼ inches and its depth is 1 ¼ inches, what must its height be? - The volume 9
The volume of a large tank is 210 yd³. its 2 2/5 yd wide and 2 4/5 yd high. What is the length of the tank?
- A bakery
A bakery makes cylindrical mini muffins that measure 2 inches in diameter and one and one-fourth inches in height. If each mini muffin is completely wrapped in paper, then at least how much paper is needed to wrap 6 mini muffins? Approximate using pi equa - Iron ball 2
What is the mass of the iron ball with a diameter of 1,0 dm? The density of iron is 7870 kg/m³. . - Shaped 82232
How many cubes with an edge of 0.2 dm fit into a box that is also shaped like a cube with an edge of 10 cm? - Foundations 82009
The house has foundations of 12x8m. How many cubic meters of gravel do we need if we want to fill it to a depth of 10 cm? - Calculate 81947
Calculate the mass of a cube with an edge of 15 cm made of oak wood with a density of ρ = 800 kg/m³.
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