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Answer:

V = 115.3 ft³

Step-by-step explanation:

The left part of the figure shows a cube of side length 4.2 ft.  The volume of a cube is V = s³, where s is the side length.  Hence, the volume of this particular cube is V = (4.2 ft)³ = 74.088.

The volume of a pyramid is V = (1/3)(base area)(height).

Here V = (1/3)(4.2 ft)²(7 ft) = 41.16 ft³.

Summing up the two distinct areas, we get V = 41.16 ft³ + 74.088 ft³, or

V = 115.3 ft³ after rounding up to the nearest tenth.

The volume of the composite figure is 115.2 cu.ft. , Option A is the correct answer.

What are Three Dimensional Figures ?

Those figures that required x,y and z axis for their representation are three dimensional figures.

They have length , breadth and height.

All the object that we see around us can be categorized into Three Dimensional Figure.

In the given figure

It can be seen that it consists of a cube and a square pyramid

To determine the volume we have to determine the volume of each figure and then add

Volume of a cube =  side * side * side

Side of the cube = 4.2 ft.

Substituting the values

Volume of cube = 4.2 * 4.2 * 4.2

Volume of cube = 74.088 cu.ft

Volume of a square pyramid is given by

(1/3) * a² * h

a is the area of the base

area of the base =  area of the square = side * side

Area of the base = 4.2 * 4.2

Area of the base = 17.64 sq.ft

Height of the pyramid  = 7 ft.

Volume of  square pyramid = (1/3)* 17.64 *7

Volume of a square pyramid = 41.16 cu.ft

Total volume = 74.088 + 41.16

Total Volume = 115.2 cu.ft

Therefore , The volume of the composite figure is 115.2 cu.ft. , Option A is the correct answer.

To know more about Three Dimensional Figures

https://brainly.com/question/24303419

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