Question

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 dimensions 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

Answer 1

Answer:

• B. 5 ft by 12 ft

Step-by-step explanation:

Volume of the aquarium is approximately 150 cubic feet and its height is 3 feet.

The base area is:

• 150/3 = 50 square feet

The answer options:

• A. 4 ft x 12 ft = 48 sq ft < 50sq ft, no
• B. 5 ft x 12 ft = 60 sq ft > 50 sq ft, yes
• C. 6 ft x 7 ft = 42 sq ft < 50 sq ft, no
• D. 10 ft x 15 ft = 150 sq ft > 50 ft, no as too big

Answer 2

Answer:

We know that,

Volume of cubodial aquarium = lbh

• 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, Correct choice - [B] 5ft by 12ft.