Geometry - math word problems - page 53 of 163
Number of problems found: 3251
- Line ratio division
Divide the line AB 8 cm long in a ratio of 2:5 - Tank paint cans
The cuboid-shaped sheet metal tank with dimensions a=25dm, b=5.6m, and c=180cm will be painted from the outside. How many cans of paint do we need to buy, and how many CZK crowns will we pay? One costs CZK 204, and it is enough to paint 8.5m². - Identical cubes
What is the volume of a large cube composed of 27 identical small cubes with an edge length of 3 cm? - Cube edge meter How many cubes with an edge of 1 cm fit into a cube with an edge of 1 m?
- Shots
500 lead shots with diameter 4 mm are decanted into a ball. What is its diameter? - Cube volume increase
How many times does the volume of a cube increase if we enlarge its edge three times? - Tank volume
Calculate the volume of a block-shaped water tank with dimensions of 6.5 m, 4.8 m, 2.8 m - Cube volume edge
1. Calculate the volume of a cube whose edge is 3.6 dm long. 2. Calculate the edge's size if you know its surface S = 2166 mm². - Large Cube Surface
Fifty small metal cubes with an edge length of 2 cm were deformed, and we made one large cube from this material. What is its surface? - Aquarium volume
The aquarium is shaped like a cube and is partially filled with water. For Peter, a cube with an edge of 8 cm fell into it and completely sank. The water level in the aquarium rose by 1 cm. What is the volume of the whole aquarium? - Paint for Hexagonal Pool
How much paint do we need to paint a pool in the shape of a 6-sided prism? The base edge measures 21 dm, the corresponding height is 1.8 m, and the pool height is 150 cm. We need 0.21 kg of paint per 1 m². - Line intersect segment
Decide whether the line p : x + 2 y - 7 = 0 intersects the line segment given by points A[1, 1] and B[5, 3] - Symmetry by plane
Determine the coordinates of an image of point A (3, -4, -6) at a symmetry that is determined by the plane x-y-4z-13 = 0 - Container painting area
Mr. Milan made a container for sorting waste from wood. The outside will be painted. There will be compartments for plastic and paper on the edges and for glass in the middle. How large areas will he paint with individual colors? The container has a cuboi - Warehouse painting cost
The warehouse has the shape of a cuboid with dimensions: length of 50 meters, width of 600 decimeters, and height of 300 centimeters. Calculate how much it will cost to paint a windowless room with a door 150 centimeters wide and 200 centimeters high (the - Decorations - spherical
The glass Christmas decorations have the shape of a ball with a diameter of 8 cm. In a small family business, they produce 50,000 pieces a year. The entire surface of these balls is covered with glitter. 400 g of glitter is needed to cover an area of 1 m² - Winch drum
Originally an empty winch drum with a diameter of 20 cm and a width of 30 cm on the rescue car, he started winding a rope with a thickness of 1 cm from edge to edge. The winch stopped after 80 turns. It remains to spin 3.54m of rope (without hook). How lo - Paper box
Calculate how much we'll pay for a three-sided shaped prism box with a triangular base, and if it measures 12cm and 1.6dm, the hypotenuse measures 200mm. The box is 34cm high. We pay 0,13 € per square meter of paper. - Pit
The pit is 1.2 m deep and in the shape of a truncated pyramid with a rectangular base. Its length and width are the top 3 × 1.5 m and the bottom 1 m × 0.5 m. To paint one square meter of the pit, we use 0.8 l of green paint. How many liters of paint are n - Gas pipeline excavation
During the construction of a 140-meter-long gas pipeline, a pit with vertical walls 1.5 m deep and 1 m wide must be created. A) How many cubic meters of soil must be dug up? B) We spread the excavated soil evenly on a field with dimensions of 70 m and 120
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