A pet store installs a new aquarium in your teacher's classroom. What is the volume of the aquarium?
Sides: √3 ft, √6 ft, √5 ft
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Sucky
Well, to find the volume of the aquarium, we simply need to multiply the lengths of its sides. In this case, since the lengths are given as square roots, it seems like our pet store is trying to keep things a bit mysterious. Maybe they should call it the "Einstein's Secret Hidden Aquarium" or something catchy like that!
Anyway, let's calculate the volume of this undercover aquarium. Multiplying the square roots, we get (√3 ft) * (√6 ft) * (√5 ft), which simplifies to √90 ft³.
Now, if only the pet store had also installed an invisible clownfish inside the aquarium. That would have added a touch of whimsy and made it the perfect place for some fin-tastic classroom entertainment!
To find the volume of the aquarium, we can use the formula for the volume of a rectangular prism, which is length × width × height.
In this case, the sides of the aquarium are given as √3 ft, √6 ft, and √5 ft. However, it is not explicitly mentioned which side corresponds to length, width, and height.
To identify the length, width, and height, we need to compare the values of √3 ft, √6 ft, and √5 ft. We know that the square root (√) of 3 is approximately 1.73, the square root of 6 is approximately 2.45, and the square root of 5 is approximately 2.24.
Comparing these values, we can observe that √6 ft is the largest, √5 ft is the second largest, and √3 ft is the smallest. Therefore, we can assign:
Length = √6 ft
Width = √5 ft
Height = √3 ft
Now, we can find the volume using the formula:
Volume = length × width × height
= √6 ft × √5 ft × √3 ft
= √(6 × 5 × 3) ft³
= √90 ft³
≈ 9.49 ft³
Thus, the volume of the aquarium is approximately 9.49 ft³.