# Units - math word problems

#### Number of problems found: 3469

• Ruler
How far from Peter stands 2m hight John? Petr is looking to John over ruler that keeps at arm's distant 60 cm from the eye and on the ruler John measured the height of 15 mm.
• The cone - S,V
Calculate the volume and surface area of the cone if its radius r = 6 cm and side s = 10 cm.
• Hexagonal pyramid
Calculate the volume and surface area of a regular hexagonal pyramid with a base edge a = 30 m and a side edge b = 50 m.
• Coordinates hexagon
The regular hexagon ABCDEF is given. Point A has coordinates [1; 3] and point D has coordinates [4; 7]. Calculate the sum of the coordinates of the center of its described circle.
• Water container
The cube-shaped container is filled to two-thirds of its height. If we pour 18 liters, it will be filled to three-fifths of the height. What is the volume of the whole container?
• Chord distance
The circle k (S, 6 cm), calculate the chord distance from the center circle S when the length of the chord is t = 10 cm.
• Workshop
In the workshop have to be produced for 5 days 2000 components. How many components must be produced in the workshop every day and how much per hour, if shift is 8 hours.
• Melting point
The melting point of mercury is -36°F and its boiling point is 672°F. What is the difference between the boiling point and the melting point?
• Perimeter of triangle
In triangle ABC angle A is 60° angle B is 90° side size c is 15 cm. Calculate the triangle circumference.
• Worker salary
The worker had a salary of CZK 18,000. During the year, his salary was increased by a quarter. He earned a total of CZK 247,500 for the whole year. From which month was his salary increased?
• Volume and surface area
Find the volume and surface of a wooden block with dimensions: a = 8 cm, b = 10 cm, c = 16 cm.
• Commission
Daniel works at a nearby electronics store. He makes a commission of 15%, percent on everything he sells. If he sells a laptop for 293.00\$ how much money does Daniel make in commission?
• The Earth
The Earth's surface is 510,000,000 km2. Calculates the radius, equator length, and volume of the Earth, assuming the Earth has the shape of a sphere.
• Pouring alcohol
100 liters of alcohol has 70% How many liters of water need to be added to have 60% alcohol?
• Hexagon in circle
Calculate the radius of a circle whose length is 10 cm greater than the circumference of a regular hexagon inscribed in this circle.
• Equilateral cylinder
A sphere is inserted into the rotating equilateral cylinder (touching the bases and the shell). Prove that the cylinder has both a volume and a surface half larger than an inscribed sphere.
• Chewing gums
For 3 chewing gums, you will pay 20 CZK less than 7 chewing gums. How much is 1 chewing gum and how much does a 5pcs package cost?
• Triangular pyramid
Calculate the volume and surface area of a regular triangular pyramid with height equal to the base edge 10 cm length.
• Three men
Alex is half younger than Jan, which is one-third younger than George. The sum of their ages is 48. How are these three men old?
• Save trees
25 tons of old paper will save 1,600 trees. How many tons of paper is needed to save the 32 trees in the park?

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