# Cuboid - examples

- Body diagonal

Cuboid with base 7cm x 3,9cm and body diagonal 9cm long. Find the height of the cuboid and the length of the diagonal of the base, - Cardboard

How many m^{2}of cardboard are needed to make the cuboid with dimensions 40 cm 60 cm and 20 cm? - Two cuboids

Find the volume of cuboidal box whose one edge is: a) 1.4m and b) 2.1dm - Cuboid

Cuboid with edge a=14 cm and body diagonal u=42 cm has volume V=10976 cm^{3.}Calculate the length of the other edges. - Pool

The swimming pool is 6 m wide and 14 m long and 185 cm deep. How many hectoliters of water is in it, if the water is 9 cm below its upper edge. - Cuboid

The cuboid has a surface area 3380 cm^{2,}the length of its edges are in the ratio 4:3:1. Calculate the volume of the cuboid. - Transforming cuboid

Cuboid with dimensions 5 cm, 14 and 17 cm is converted into a cube with the same volume. What is its edge length? - Tanks

Fire tank has cuboid shape with a rectangular floor measuring 11 m × 14.3 m. Water depth is 1.3 m. Water was pumped from the tank into barrels with a capacity of 3.9 hl. How many barrels were used, if the water level in the tank fallen 3 cm? Wri - Rainfall

Annual rainfall in our country are an average of 854 mm. How many m^{3}of water rains on average per hectare? - Forces

In point X acts three orthogonal forces: F_{1}= 13 N, F_{2}= 8 N and F_{3}= 15 N. Determine the resultant of F and the angles between F and forces F_{1}, F_{2}and F_{3}. - Cuboid diagonal

Calculate the volume and surface area of the cuboid ABCDEFGH, which sides abc has dimensions in the ratio of 7:10:8 and if you know that the wall diagonal AC is 21 cm and angle between AC and the body diagonal AG is 40 degrees. - Present

Gift box has rectangular shape with dimensions of 3×3×5 cm. Martin wants to cover with square paper with sides of 10 cm. How much paper left him? - Bricks

Brick has volume 2.2 dm^{3.}How many bricks can drive truck with capacity 20 ton? The density of brick is 2 g/cm^{3.} - Diagonal

Determine the dimensions of the cuboid, if diagonal long 16 dm has angle with one edge 66° and with other edge 71°. - Air mass

What is the weight of the air in a classroom with dimensions 5 m × 2 m × 3.1 m ? The air density is 1.293 kg/m^{3.} - Prism X

The prism with the edges of the lengths x cm, 2x cm and 3x cm has volume 48000 cm^{3.}What is the area of surface of the prism? - The pot

The pot is in 1/3 filled with water. Bottom of the pot has an area of 295 cm^{2.}How many centimeters rises water level in the pot after add 1 liters of water? - Prism

Three cubes are glued into prism, sum of the lengths of all its edges is 259 cm. What is the length of one edge of the original cube? - Air

Room is 26.2 m long, 23.4 dm wide and 628 cm high. How many people can simultaneously be in this room if for hygiene reasons is calculated 5100 dm^{3}of air per person? - Cuboid

Determine the dimensions of cuboid a, b, c; if diagonal d=6 dm has angle with edge a α=57° and has angle with edge b β=60°

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