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Damm [24]
4 years ago
7

Calculate the volume of the solid. Please avoid decimals and leave your answer as a mixed fraction (e.g. 12 3/4) or improper fra

ction (e.g. 51/4).

Mathematics
1 answer:
Advocard [28]4 years ago
3 0

Answer:

Volume of the given solid is 14\frac{2}{9} cubic yds.

Step-by-step explanation:

Solid given in the figure is a composite structure made up with three rectangular prisms.

Formula to used,

Volume of a rectangular prism = length × width × height

Volume of the solid = Volume of all rectangular prisms

                                 = (1\times 1\frac{1}{3}\times \frac{2}{3} )+[6\times (4-1\frac{1}{3})\times \frac{2}{3}]+(3\times 1\frac{1}{3}\times \frac{2}{3})

                                 = \frac{8}{9}+(6\times \frac{8}{3}\times \frac{2}{3})+\frac{8}{3}

                                 = \frac{8}{9}+\frac{32}{3}+\frac{8}{3}

                                 = \frac{8}{9}+\frac{40}{3}

                                 = \frac{8}{9}+\frac{120}{9}

                                 = \frac{128}{9}

                                 = 14\frac{2}{9}

Volume of the given solid is 14\frac{2}{9} cubic yds.

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