Question

Which expression represents the volume, in cubic

units, of the composite figure?
O (8)(6)6) + (8)(6)(4)
O (8)(6)(10) + (8)(6)(4)
O (8X6)\4)-(ex6)X6)
O (8X6)(4) –eX6)10)

Answer 1

Given:

The composite figure.

To find:

The volume of the given composite figure.

Solution:

Given composite figure contains a cuboid and a pyramid.

Length, breadth and height of the cuboid are 8, 6 and 4 respectively.

Volume of a cuboid is

`V_1=length* breadth* height`

`V_1=(8)(6)(4)`

Length and breadth of the pyramid is same as the cuboid, i.e., 8 and 6 respectively.

Height of pyramid = 10 - 4 = 6

Volume of a pyramid is

`V_2=(1)/(3)* length* breadth* height`

`V_2=((1)/(3))(8)(6)(6)`

The volume of composite figure is

`V=V_1+V_2`

`V=(8)(6)(4)+((1)/(3))(8)(6)(6)`

It can be written as

`V=((1)/(3))(8)(6)(6)+(8)(6)(4)`

Therefore, the correct option is A.