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The area of three adjacent faces of a cuboid are 100 square centimetre and 72 square centimetre and 26 square centimetre respectively find the volume of cuboid also find the dimensions of cuboid?
It has volume √187200 cm³ which is approx 432.7 cu cmIt has dimensions: √(276 12/13) cm by √(36 1/9) cm by √(18 18/25) cmwhich is approx: 16.6 cm by 6 cm by 4.3 cm--------------------------------------------------------------------How this is solved:It has the dimensions of a cuboid are length, width and depth.Thus the three adjacent faces are given by:length × width = 100 cm²width × depth = 72 cm²depth × length = 26 cm²Multiplying all three equations together gives:(length × width) × (width × depth) × (depth × length) = 100 cm² × 72 cm² × 26 cm²→ length² × width² × depth² = 187200 cm^6→ (length × width × depth)² = (187200 cm³)²→ length × width × depth = √187200 cm³But for a cuboid:volume = length × width × depth = √187200 cm³ ≈ 432.7 cu cmGoing back to the original three equations above, rearranging (3):3) depth × length = 26 cm²→ depth = 26 cm² ÷ lengthSubstituting in (2):2) width × depth = 72 cm²→ width × (26 cm² ÷ length) = 72 cm²→ width = 72/26 × lengthSubstituting in (1):1) length × width = 100 cm²→ length × (72/26 × length) = 100 cm²→ length² = 2600/72 cm²→ length = √(36 1/9) cm ≈ 6 cmSubstituting in (3):3) depth × length = 26 cm²→ depth × sqrt(36 1/9) cm= 26 cm²→ depth = 26 ÷ sqrt(36 1/9) cm→ depth = √(18 18/25) cm ≈ 4.3 cmSubstituting in (2):2) width × depth = 72 cm²→ width × sqrt(18 18/25) cm = 72 cm²→ width = 72 ÷ sqrt(18 18/25) cm→ width = √(276 12/13) cm ≈ 16.6 cmNote that length, width and depth can be any of the three dimensions; the cuboid has dimensions:√(276 12/13) cm by √(36 1/9) cm by √(18 18/25) cmwhich is approximately:16.6 cm by 6 cm by 4.3 cm
How many m is in 900cm?
0.9 m in 900 cm
If the area is 900cm squared what is the perimeter?
The perimeter is 120 cm
How many liters of water would fill a 244cm x 63cm pool?
you need three measurements...the height,width an depth of the pool..volume in litres = height (cm)x width(cm)x depth(cm) /1000
How do you find the width of a rectangular solid if the volume is 750 cm cubed and the length is 15 cm?
You can't.From the information given you can calculate that the width times the depth is 60 cm2 .There is no way to know what the width is.
The area of three adjacent faces of a cuboid are 100 square centimetre and 72 square centimetre and 26 square centimetre respectively find the volume of cuboid also find the dimensions of cuboid?
It has volume √187200 cm³ which is approx 432.7 cu cmIt has dimensions: √(276 12/13) cm by √(36 1/9) cm by √(18 18/25) cmwhich is approx: 16.6 cm by 6 cm by 4.3 cm--------------------------------------------------------------------How this is solved:It has the dimensions of a cuboid are length, width and depth.Thus the three adjacent faces are given by:length × width = 100 cm²width × depth = 72 cm²depth × length = 26 cm²Multiplying all three equations together gives:(length × width) × (width × depth) × (depth × length) = 100 cm² × 72 cm² × 26 cm²→ length² × width² × depth² = 187200 cm^6→ (length × width × depth)² = (187200 cm³)²→ length × width × depth = √187200 cm³But for a cuboid:volume = length × width × depth = √187200 cm³ ≈ 432.7 cu cmGoing back to the original three equations above, rearranging (3):3) depth × length = 26 cm²→ depth = 26 cm² ÷ lengthSubstituting in (2):2) width × depth = 72 cm²→ width × (26 cm² ÷ length) = 72 cm²→ width = 72/26 × lengthSubstituting in (1):1) length × width = 100 cm²→ length × (72/26 × length) = 100 cm²→ length² = 2600/72 cm²→ length = √(36 1/9) cm ≈ 6 cmSubstituting in (3):3) depth × length = 26 cm²→ depth × sqrt(36 1/9) cm= 26 cm²→ depth = 26 ÷ sqrt(36 1/9) cm→ depth = √(18 18/25) cm ≈ 4.3 cmSubstituting in (2):2) width × depth = 72 cm²→ width × sqrt(18 18/25) cm = 72 cm²→ width = 72 ÷ sqrt(18 18/25) cm→ width = √(276 12/13) cm ≈ 16.6 cmNote that length, width and depth can be any of the three dimensions; the cuboid has dimensions:√(276 12/13) cm by √(36 1/9) cm by √(18 18/25) cmwhich is approximately:16.6 cm by 6 cm by 4.3 cm
How many9m how many cm?
9m is 900cm
How many cm in 9 metres?
900cm
How much cm are in 9000 mm?
900cm
What is 900cm plus 480cm plus 400cm?
It is 1780 cm.
If the volume of a brick is 400 cubic cm the length 20 cm and the depth 5 cm how wide is the brick?
4cm in width
How many m is in 900cm?
0.9 m in 900 cm
If the area is 900cm squared what is the perimeter?
The perimeter is 120 cm
How many liters of water would fill a 244cm x 63cm pool?
you need three measurements...the height,width an depth of the pool..volume in litres = height (cm)x width(cm)x depth(cm) /1000
What is the volume of a square box with a length of 8 cm a width of 4 cm and a depth of 1 cm?
32 cm3
How many meters are in 900cm?
100 cm = 1 meter 900 cm = 9 meters
What is the volume of a box whose length is 5 cm whose width is 2 cm and whose depth is 2 cm?
20cm.
