Question

To the nearest cubic inch, what is the volume of the small milk carton below?

A triangular prism on top of a rectangular prism. The triangular prism has a triangular base with a base of 3 inches and height of 1.5 inches. The height of the prism is 3 inches. The rectangular prism has a length of 3 inches, width of 3 inches, and height of 6.5 inches.

44 inches cubed
63 inches cubed
65 inches cubed
88 inches cubed

Answer 1

Answer:

65

Step-by-step explanation:

Answer 2

The prism is a solid 3-dimensional shape with 6 faces. The volume of the carton is 65 inches

Volume of prism and pyramid

The prism is a solid 3-dimensional shape with 6 faces.

The formula for the composite solid is expressed as:

Volume of figure = volume of pyramid + rectangular prism

Determine the volume of prism

V = BH

V =1/2(3)(1.5)(3)

V = 4.5/2 = 8.75 cubic inches

Determine the volume of rectangular prism

Volume of prism = BH
Volume of prism = (3)(3)(6.5)

Volume of prism = 58.5

Volume of the carton milk = 8.75 + 58.5

Volume of the carton milk = 65 inches

Hence the volume of the carton is 65 inches

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