A fish tank at an aquarium has a volume of 648 cubic feet and the depth (height) is 8 feet. If the base is square, what is the length of each side of the tank? Volume = length2x height
Answers
Answer:
answeris 9
Step-by-step explanation:
volume= 648 feet^3
h = 8 feet
l = b= x (let)
then,
648 = x × x× 8
648/8 = x^2
81. = x^2
√81. = x
x = 9
since,
l =b = 9 feet
The length of each side of tank = 9 feet
Given:
Volume of fish tank = 648 f³
Depth or height = 8 feet
The base of the tank is square
To find:
What is the length of each side of the tank
Solution:
As we know the formula for volume of a tank is given by
Volume = area of base × height
From given data volume = 648 f³ and height = 8 feet
⇒ 648 f³ = area of base × 8
⇒ Area of base = 648 f³ / 8 feet
⇒ Area of base = 81 f²
Area of the base of the tank = 81 f²
Given that tank base is in square
The area of square base = side²
[Here, Length of the side of the base is the each side of tank ]
⇒ side² = 81 f²
⇒ side² = (9 feet)²
Therefore, length of each side of tank = 9 feet
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