Question

Determine the volume of the composite figure below. 100 Points step by step

please help me

Answer 1

515 cubic units

Explanation:

We can find the volume by separating the solid object.

The Upper one is cube and lower base one is cuboid.

Since

Volume of cube = length³

So,

Volume of upper object(cube) = 5³

= 125 cubic units

And

Volume of cuboid = length × width × height

So,

Volume of the lower object (cuboid) = 13 × 5 × 6

= 390 cubic units

And

Volume of composite figures = Volume of lower object + Volume of upper object

= 390 + 125

= 515 cubic units

Therefore, volume of the composite figure is 515 cubic units.

Answer 2

V = 515 units³

Explanation:

the composite figure is composed of a cuboid ( lower) and a cube (upper)

the volume (V) of a cuboid is calculated as

V = length × width × height

the dimensions of the cuboid are

length = 13 , width = 5 , height = 6

V = 13 × 5 × 6 = 390 units³

The dimensions of the cube are

length = width = height = 5

the volume (V) of the cube is then

V = length × width × height = 5 × 5 × 5 = 125 units³

the total volume (V) is the sum of the cuboid and cube

V = 390 + 125 = 515 units³