Question

This figure represents the base of an aquarium that is 9 inches high

What is the volume of the aquarium?

Answer 1

558

Explanation:

I did the quiz.

Answer 2

volume = 558 in³

Explanation:

Area of base

Section the base into a triangle and a rectangle.

Area of a triangle = 1/2 x base x height

⇒ area = 1/2 x (7 - 4) x (12 - 8) = 6 in²

Area of a rectangle = width x height

⇒ area = 7 x 8 = 56 in²

Therefore, area of the base = 6 + 56 = 62 in²

Volume

Volume = area of the base x height

⇒ volume of the aquarium = 62 x 9 = 558 in³