Area + fractions - practice problems - page 4 of 18
Number of problems found: 342
- The pilot
The pilot is on a mission with 160 liters of fuel. The distance between the main base and the operation area is 2 hours. The distance between the main base and backup base is 1 hour. Assume: - Aircraft fuel consumption is 10 lt/h. - Minimum fuel after lan - Isosceles triangle
Find the area of an isosceles triangle whose leg is twice the base, b=1 - Trapezoid and bases
Find the area of the trapezoid whose bases differ by three and whose height is three less than twice the upper base. - Mr Ambayen
Mr. Ambayen had 3 6/7 hectares of land. He planted 1/5 of it for coconut trees and 1/2 for avocado trees. What fraction of Mr. Ambayen's land was planted with trees?
- A Pile of salt
A Pile of salt has been stored in the shape of a cone. Mr. Terwilliker knows that the pile is 20 feet tall and 102 feet in circumference at the base. What area of the conical tarpaulin (a large sheet of material) is needed to cover the pile? - A cuboid 2
A cuboid with a depth of 4 cm but a length and width of x cm is cut out from one corner of the original cuboid as shown (the original cuboid has dimensions of 10x8x4 cm). The remaining shape has a volume of 199. Calculate the value of x. - ABS, ARG, CONJ, RECIPROCAL
Let z=-√2-√2i where i2 = -1. Find |z|, arg(z), z* (where * indicates the complex conjugate), and (1/z). Where appropriate, write your answers in the form a + i b, where both a and b are real numbers. Indicate the positions of z, z*, and (1/z) on an Argand - Z-score test
The fish weights in a certain lake are normally distributed with a mean of 11 lb and a standard deviation of 6. If four fish are randomly selected, what is the probability that the mean weight will be between 8.6 and 14.6 lb? Your answer should be a decim - A cone 2
A cone has a slant height of 10 cm and a square curved surface area of 50 pi cm. Find the base radius of the cone.
- The length 10
The length of a rectangle is increased to 2 times its original size, and its width is increased to 3 times its original size. If the area of the new rectangle is equal to 1800 square meters, what is the area of the original rectangle? - Two pots
Two similar pots have 16 cm and 10 cm heights if the smaller pot holds 0,75 l. Find the capacity of the larger pot - Calculate 74024
The diagonal of the axial section of the rotating cylinder is 6 cm, and its surface is 30 cm square. Calculate the radius of the base. - Canada landscape
About ½ of Canada is covered in forest, and 1/12 is covered in freshwater. What fraction of Canada is not covered in either forest or freshwater? Hint - add first and then subtract from the total. - A sphere
A sphere has a radius of 5.5 cm. Determine its volume and surface area. A frustum of the sphere is formed by two parallel planes. One through the diameter of the curved surface of the frustum is to be of the surface area of the sphere. Find the height and
- Double of one-third
¹/₃ of the school garden has vegetables, and another ¹/₃ has flowers. What part of the garden is left to grow grass? - Calculate 73534
The sphere has a diameter of 70 cm. Calculate its surface area and volume. - ABC gifts
Arthur had 30 dollars to spend on three gifts. He spent 9 3/4 dollars on gift A and 4 1/2 dollars on gift B. How much money did he have left for gift C? - Calculate 73434
Calculate the volume and surface area of the cone with a diameter of 20 cm and a height of 15 cm. - Equilateral 73374
The axial section of the cone is an equilateral triangle with a side of 12 cm. Surface and volume calculation.
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