Length - practice problems
Length measures the extent of an object in one dimension, such as the height of a door or the span of a bridge. Distance quantifies the separation between two points in space, like the miles between cities or the meters from home to school. While length is an intrinsic property of an object, distance depends on the path taken between locations. Both concepts use units like meters or feet but differ in context—length describes size, while distance describes spacing. In physics, distance is a scalar value representing how far apart objects are, regardless of direction.Number of problems found: 3273
- Shipping problem
Paul works in the shipping department of a toy company. He sends toys in boxes, each in the shape of a rectangular prism with whole-number dimensions in inches. Paul needs a box with a total volume of 24 cubic inches. Find one possible combination of leng - Distance - number line
What is the distance between −93 and 114 on a number line? - A race 2
In a race of 200 m, A can beat B by 31 m and C by 18 m. In a race of 350 m, by how many metres will C beat B? - ABCD rhombus
ABCD is a rhombus with sides of 10.5 cm. If the length of diagonal AC = 15.8 cm, use the cosine rule to: a. calculate the length of diagonal BD to the nearest centimetre, b. find the angles of the rhombus to the nearest degree. - The perimeter 13
The perimeter of a rectangle is 22 cm. What are its dimensions if it has the maximum possible area? - Buy ice cream
Yesterday, Hector walked 2 1/5 miles from the swimming pool to the ice cream stand and 1/2 of a mile from the ice cream stand back home. How many miles did Hector walk in all? - Isosceles right triangle
If I have a right triangle with each leg on either side of the right angle measuring 24 inches, what is the length of the hypotenuse? - Triangle 97
Triangle DEF with angle Ê = 40°, angle F = 90°, EF = 45 mm. Find the length of DE. - Three athletes
Three athletes are training for a marathon. Sebastian runs 8.325 miles. Jordan runs 3.1 times the distance Sebastian runs. Rocky runs 6.77 miles less than Jordan. How many total miles did the three athletes run? - Angle of elevation 3
The angle of elevation of a pole from a point on the horizontal ground is 15°. After moving 10 m closer to the pole, the angle of elevation becomes 30°. What is the height of the pole? - Square park
Amyra goes for a walk in a square park. The perimeter of the park is 1,235 m. Find the side length of the park. - Building shadow
When the Sun's altitude is 30° above the horizontal, find the length of the shadow cast by a 50 m high building. - Length units
How many times does one and a half inches go into 12 feet? - Swim kilometers
Amy swam 2/9 kilometres to an island. Then she swam 1/9 kilometres to a boat. How far did she swim in all? Write your answer as a fraction in simplest form. - A road 2
A road crew must repave a road that is 4/5 miles long. They can repave 1/20 miles per hour. How long will it take the crew to repave the road? Write your answer in simplest form. - A train 7
A train overtakes two persons walking in the same direction as the train at speeds of 2 km/h and 4 km/h. The train passes each of them completely in 9 and 10 seconds respectively. Find the length of the train. - A train 6
A train covers distances of 10 km, 20 km, and 30 km at speeds of 50 km/h, 60 km/h, and 90 km/h respectively. Find the average speed of the train in km/h. - A building
A building is 125 metres tall and 80 metres long. On a scale drawing, the height of the building is 25 centimetres. What is the length of the building on the scale drawing in centimetres? - A rope for cow
Find the length of rope by which a cow must be tethered so that it can graze an area of 154 m². - Journey trip
A man performs 2/15 of his total journey by rail, 9/20 by bus, and the remaining 10 km by bicycle. What is the total length of his journey?
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