Question

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).

Answer 1

The expression of Volume in cubic meter  $\frac{1}{3}$ (8)(6)(6)+(8)(6)(4)

The correct option is (1)

What is Volume?

Volume can also be defined as the amount of space occupied by a 3-dimensional object. The volume of a solid like a cube or a cuboid is measured by counting the number of unit cubes it contains.

Volume will be,

V= Volume of rectangular pyramid + Volume of cuboid

 

Volume of rectangular pyramid= $\frac{1}{3}$ * base area* height

                                                   = $\frac{1}{3}$ * 6*8*(10-4)

                                                   =$\frac{1}{3}$ * 6*8*6

Volume of cuboid= l*b*h

                              = 4*6*8

So, Volume   =$\frac{1}{3}$ * 6*8*6 + 4*6*8

                     = $\frac{1}{3}$ (8)(6)(6)+(8)(6)(4)

So, The expression of Volume in cubic meter  $\frac{1}{3}$ (8)(6)(6)+(8)(6)(4).

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