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o-na [289]
3 years ago
13

Which expression represents the volume, in cubic

Mathematics
1 answer:
muminat3 years ago
3 0

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\times breadth\times 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=\dfrac{1}{3}\times length\times breadth\times height

V_2=(\dfrac{1}{3})(8)(6)(6)

The volume of composite figure is

V=V_1+V_2

V=(8)(6)(4)+(\dfrac{1}{3})(8)(6)(6)

It can be written as

V=(\dfrac{1}{3})(8)(6)(6)+(8)(6)(4)

Therefore, the correct option is A.

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