Question

An aquarium has a length (x + 7) cm,x cm wide and 60 cm high.The total volume of the aquarium is 48000cm^{3} .The aquarium will be filled with water.Calculate x value.

Answer 1

Answer:

X = 25 cm

Step-by-step explanation:

(X+7) * X * 60 =60 x^2 + 420x = 48000

(x+32)(x-25) =0

X=25

Answer 2

Gɪᴠᴇɴ :-7

• Length of Aquarium = (x + 7) cm

• Breadth of Aquarium = x cm

• Height of Aquarium = 60cm

• Volume of Aquarium = 48000cm³

ᴛᴏ ғɪɴᴅ :-

• Value of x

Sᴏʟᴜᴛɪᴏɴ :-

From the question,

We can say that,

➥ Volume of cuboid = Volume of Aquarium

And,

We know that,

➥ Volume of Cuboid = l × b × h

So,

➥ Volume of Aquarium = l × b × h = 48000 cm³

➞ (x + 7) × (x) × (60) = 48000

➞ (x + 7) × (x) = 48000/60

➞ x² + 7x = 800

➞ x² + 7x - 800 = 0

➞ x² + 32x - 25x - 800 = 0

➞ x(x + 32) - 25 ( x + 32) = 0

➞ (x - 25)(x + 32) = 0

➞ x = 25 or x = -32

Hence,

➥ Length can't be negative.

So,

➥ 'x' = 25 cm.

Hence,

➥ Length = ( x + 7) = 25 + 7 = 32cm

➥ Breadth = (x) = 25 cm