Aisha has an aquarium that can hold 150 cubic feet of water. The aquarium is 3 ft high. Which of the following could be the dime
nsions of the base.
A. 4 ft by 12 ft.
B. 5 ft by 12 ft.
C. 6 ft by 7ft.
D. 10 ft by 15 ft
2 answers:
Answer:
Step-by-step explanation:
Volume of the aquarium is approximately 150 cubic feet and its height is 3 feet.
<u>The base area is:</u>
<u>The answer options:</u>
- A. 4 ft x 12 ft = 48 sq ft < 50sq ft, <u>no</u>
- B. 5 ft x 12 ft = 60 sq ft > 50 sq ft, <u>yes</u>
- C. 6 ft x 7 ft = 42 sq ft < 50 sq ft, <u>no</u>
- D. 10 ft x 15 ft = 150 sq ft > 50 ft,<u> no as too big</u>
Answer:
We know that,
<u>Volume of cubodial aquarium = lbh</u>
- lb × 3ft = 150
- lb = 150/3 = 50ft²
Now, See all the choice:
[A] 4 × 12 = 48 < 50
[B] 12 × 5 = 60 > 50 (it's nearest)
[C] 6 × 7 = 42 < 50
[D] 10 × 15 = 150 > 50
So, <u>Correct choice</u> - [B] 5ft by 12ft.
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