Question

Find the volume of the composite figure. 기 6 cm 5 cm 0.5 cm 0.5 cm 6 cm 5 cm/ 0.5 cm 6 om a. 15 cm O Ob. 16.5 cm Oo. 30 cm d. 31.5 cm 3

Answer 1

To find the volume of this figure, we need to break it down into the shapes separately.

We have three rectangular prisms. Let's begin with the rectangular prisms.

Both rectangles have the same dimensions: a length of 6, a width of 5, and a height of 0.5.

The formula for the volume of a rectangular prism is

`V=lwh`

The volume of one rectangular prism is

`\begin{gathered} V=lwh \\ V=6*5*0.5 \\ V=15cm^3 \end{gathered}`

Since there are two rectangular prisms with the same dimensions, the volume of the second prism is also 15 cubic centimeters.

Next, we need to find the volume of the third rectangular prism.

The width and the length are the same, 0.5 cm. The height is 6 cm. We will use the same volume formula for this shape:

`\begin{gathered} V=lwh \\ V=0.5*0.5*6 \\ V=1.5cm^3 \end{gathered}`

To get the total volume, we will add all the volumes together:

`15+15+1.5=31.5cm^3`

Our final volume is 31.5 cubic centimeters.