Rearrange variables - math word problems - page 15 of 147

Number of problems found: 2922

Regular 4BH
A regular quadrilateral prism has a volume of 864 cm³ and its total surface area is twice the area of its base. Determine the length of its space diagonal.
PT - Pythagorean
A right triangle ABC has hypotenuse c and legs a and b. Estimate the length of the missing side and compare your estimate with the calculated value. a) a = 4 cm; b = 5 cm b) a = 6.8 m; b = 9 m c) a = 8.9 m; b = 1 m d) b = 10 cm; c = 20 cm e) b = 2.5 m; c
In a right triangle 13
The altitude to the hypotenuse of a right triangle is 4.8 cm. The two segments of the hypotenuse are in the ratio 4:3. Calculate the perimeter and area of the triangle.
Vertical movement
Find the length of the vertical path you must travel to lift a weight using a force of 0.01 N and do 1 J of work.
Decadal - flower bed
The castle park includes a flower bed in the shape of a regular decagon with an area of 432.8 m². Determine the distance between adjacent vertices of the flower bed.
Aluminum ignote
At what temperature did the temperature stabilise if an aluminium ingot weighing 45 kg, initially at 15 °C, received 4.8 MJ of heat? The specific heat capacity of aluminium is 896 J/(kg·°C).
Capacity of iron
What was the initial temperature of an iron object weighing 30 kg that absorbed 3.5 kJ of heat when heated to 39 °C? The specific heat capacity of iron is 450 J/(kg·°C).
Box
A paper box is in the shape of a cube. 2,400 cm² of paper was used to make it (not including folds for gluing the walls). Calculate the volume of the box.
Crowbar - lever
How much force must be applied to the end of a 2.4 m long crowbar to lift a door weighing 220 kg, if the crowbar rests on the ground and the door stands on it 35 cm from the ground-end?
Rectangle - perimeter, side
From the formula for the perimeter of a rectangle, express the length of side b and find its value for o = 28 cm and a = 7.5 cm.
Bottom diameter
Milo poured 2 dl of fruit juice into a cylindrical glass with a base diameter of 6 cm. How high did the juice level reach in the glass?
Calculate 5
Calculate the area and perimeter of a trapezoid with side a = 10, angle α = 40°, angle β = 50°, and side c = 3.
Compound fractions
Simplify the compound fraction using known formulas: (4a²-12a+9)/(4a-6)
Glass vessel
The cylinder-shaped glass vessel is 1 m high and has a volume of 196.25 l. Calculate the diameter of the container.
Fresh Plums for Dried
From 2 kg of fresh plums, we get 400 g of dried plums. How many fresh plums do you need for 2 kg of dried?
Triangle Area and Perimeter
The area of a right triangle is 240 cm². Determine its circumference if the given lengths are suspended in a ratio of 5:12.
Right Triangle Side Calculation
In a right-angled triangle, you know a drop of 7 meters and an angle of 30 degrees. Calculate the type of overhang; calculate both variants - the specified angle is opposite and adjacent to the specified perpendicular.
Wrench Lever Force
The key works like a lever, where one arm is the radius of the bolt, and the other is the length of the key. If key no. 12 (for screws with a diameter of 12 mm) and a length of 12 cm can be tightened with a maximum force of 100 N, what force does the wren
Yard Length from Area
Calculate the length of a yard with an area of 9.5 ares if its width is 16 meters.
Isosceles weight
A designer weight is made from a glass cube by cutting off a triangular prism with an isosceles right-triangle base, where the legs of the triangle are each half the length of the cube's edge. What percentage of the cube is removed when making the weight?

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