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help please!! what is the volume of this composite solid

Help Please What Is The Volume Of This Composite Solid class=

Sagot :

Answer:

Step-by-step explanation:

Given composite figure is made up of two solids.

Top part is a triangular prism and the bottom is a rectangular prism.

Volume of the composite solid = Volume of the triangular prism + Volume of the rectangular prism

Volume of the triangular prism = Area of the triangular base × Height of the prism

                                                    = [tex]\frac{1}{2}(\text{Base})(\text{Height}) \times (\text{Height of the prism})[/tex]

                                                    = [tex]\frac{1}{2}(4\times 6)\times 10[/tex]

                                                    = 120 square m

Volume of the rectangular prism = Length × Width × Height

                                                       = 6 × 10 × 6

                                                       = 360 m²

Total volume of the composite solid = 120 + 360 = 480 m²

Option A is the answer.