PLEASE HELP!! A pyramid with a rectangular base is stacked on top of rectangular prism. The height of the composite figure is 10. The lengths of the rectangular base are 8 and 6 units. The height of the rectangular prism is 4.

Which expression represents the volume, in cubic units, of the composite figure?


One-third(8)(6)(6) + (8)(6)(4)

One-third(8)(6)(10) + (8)(6)(4)

(8)(6)(4) – (One-third)(8)(6)(6)

(8)(6)(4) – (One-third)(8)(6)(10)

Respuesta :

Answer:

A) 1/3 (8(6)(6) + (8)(6)(4)

Step-by-step explanation:

Rectangular Prism: 8(6)(4)

Pyramid: 1/3 (8)(6)(6)

The prism is a solid 3-dimensional shape with 6 faces. The volume of the figure is (8)(6)/3 + 8(6)(6)

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 pyramid

V = BH/3

V = (8)(6)/3

Determine the volume of prism

Volume of prism = BH
Volume of prism = (8)(6)(10-4)

Volume of prism = (8)(6)(6)

Hence the volume of the figure is (8)(6)/3 + 8(6)(6)

Learn more on volume of prism here: https://brainly.com/question/23963432

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