Area - math word problems - page 123 of 161
Number of problems found: 3206
- Rectangle pool
Find the dimensions of an open pool with a square bottom and a capacity of 32 m³ that can have painted/bricked walls with the least amount of material. - Midpoint triangle
Triangle ABC is equilateral with a side length of 8 cm. Points D, E, and F are the sides AB, BC, and AC midpoints. Calculate the area of triangle DEF. In what ratio is the area of triangle ABC to the area of triangle DEF? - Cuboid - ratios
The sizes of the edges of the cuboid are in the ratio of 2:3:5. The smallest wall has an area of 54 cm². Calculate the surface area and volume of this cuboid. - Rhombus perimeter
Calculate the perimeter of a rhombus, one side of which is 6 cm long, and the height of this side is 2 cm long. The height on the other side is 4 cm long. - Rectangle diagonals
It is given a rectangle with an area of 24 cm² and a circumference of 20 cm. The length of one side is 2 cm larger than the length of the second side. Calculate the length of the diagonal. Length and width are yet expressed in natural numbers. - Hypotenuse
Calculate the length of the hypotenuse of a right triangle if the length of one leg is 4 cm and its area is 16 square centimeters. - Tent fabric
What is the consumption of fabric per tent: Length 250, width 180, the height of triangle 120, sides 150 (all cm). What is the volume of air in the tent? - Rectangle dimensions
The rectangle has a perimeter of 24 cm so that its area is maximum and its length is larger than its width. Find the dimensions of a rectangle. - Diamond prism
The prism's base is a diamond with a side length of 6 cm and a height of 4 cm. The height of the prism is 125% greater than the length of the side of the diamond. Calculate the surface area and volume of the prism. - Diagonals Given a rhombus ABCD with a diagonal length of 8 cm and 12 cm. Calculate the side length and area of the rhombus.
- Glass aquarium
How many m² of glass are needed to produce an aquarium with a bottom dimension of 70 cm x 40 cm and a height of 50 cm? - Chocolate roll
The cube of a 5 cm chocolate roll weighs 30 g. How many calories will the identical chocolate roller of a prism shape with a length of 0.5 m whose cross-section is an isosceles trapezoid with bases 25 and 13 cm and legs 10 cm contain? You know that 100 g - Bucket
How many Kč (Czech crowns) will you pay for the painting of a room in the shape of a cuboid with floor dimensions of 5 and 4 m, given the height of the room is 3 m. You will not paint the floor, the door space (210 x 90 cm), and the space behind the mirro - The land
The land in the shape of a square has 9 ha. How big a side will the land have at a scale of 1:5000? - Ice cream cone
How many cm² of dough are needed to produce an ice cream cone if it is to hold 0.3 l of ice cream and its height is to be 15 cm. Add 8% for folds. 1. Convert litres into cm³ 2. Decide which data you can calculate first and from what formula. 3. Calculate - Square garden side
A rectangular garden is 81 metres long and 36 metres wide. How long will the side of a square garden with the same area be? - Floating floor
We will put a floating floor in the room, which is 6.5 m long and 5 m wide. It is sold in packs of 1 m². One package costs 279 CZK. How many packages will we have to buy, and how much will we pay for them? - Z6–I–2
Mr. Kockorád owned a rectangular-shaped garden, on which he gradually paved paths from one side to the other. The paths were equally wide, crossed each other at two places, and the already paved area was skipped when paving further. When Mr. Kockorád pave - Argicultural field
The field has a rectangular shape with a width of 180 m and a circumference of 940 m. How many hectares of the acreage has a field? - Direct indirect proportion
Decide if the variables are in a relation of direct or indirect proportionality. 1st variable 2nd variable does not change: a) number of bottles of syrup amount paid for them price per 1 bottle b) length of the side of a rhombus length of the correspondin
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