Question

the length of a cuboid is twice the breadth and the price the height is the volume of the cuboid is 972 cm cube find the breadth of the Cupid​

Answer 1

Answer:

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so here we go

Step-by-step explanation:

now here let length of cuboid be l its breadth be b and its height be h

so according to first condition

l=2b

ie b=l/2 (1)

according to second condition

l=3h

ie h=l/3 (2)

so we know that

volume of cuboid=l×b×h

thus according to the third condition

l×b×h=972 (3)

substitute values of h and b in (3)

we get 972=l cube/6

ie l cube=5832

taking cube roots on both sides

we get

l=18

substitute value of l in both (1) and (2)

you obtained

h=6 and b=9

thus dimensions of cuboid are 18×9×6

where it's length is 18 cm breadth is 9 cm and its height is 6 cm