Question

The right triangular prism has a volume of 1,152 cm3. A right triangular prism has a volume of 1,152 centimeters cubed. The triangular bases have 2 sides with lengths of 12 centimeters. The hypotenuse length is not given. The height of the prism is x centimeters. What is the value of x, the height of the prism? 6 8 12 16

Answer 1

16 cm

Explanation:

Answer 2

16 cm

Explanation:

A "right" prism is one that has the planes of the lateral faces perpendicular to the plane of the base. Here, we assume your "right triangular prism" is one that has a right triangle as a base, because you mention the "hypotenuse."

The area of the base is ...

A = (1/2)bh = (1/2)(12 cm)(12 cm) = 72 cm²

The volume of the prism is ...

V = Bh . . . . where B represents the area of the base

Filling in the numbers, we have ...

1152 cm³ = 72 cm²×h

h = (1152/72) cm = 16 cm

The height of the prism is 16 cm.