Question

I neeeeeeeeeed helpppppppp

Answer 1

180 centimeters^3

Explanation:

You know that the formula for volume is l*w*h

So you can see that this shape is two rectangular prisms put together so if we split it, we would now have two rectangular prisms.

The one to the right would be solved: 2(length)*5(width)*6(height) to get 60 centimeters cubed.

Now that we got the first rectangle solved, we need to do the second one to the left. We can see that the length is 8 cm, the width is 5 cm, and the height is 3 cm. So now for the equation.

8 (length) * 5 cm(width) * 3 cm(height)= 120 cm cubed.

Left rectangle laying down: 120 cm cubed

Right rectangle standing up: 60 cm cubed

Now that both of these rectangles are split and we solved the volume we will need to add both volumes we solved because this 3d shape is connected so enable to reconnect it and find the right volume we will need to add these two.

120+60=210 cm cubed.

Answer 2

V = 180 cm³

Explanation:

Look at the picture.

We have two rectangular prisms.

The formula of a volume of a rectangular prism:

`V=lwh`

l - length

w - width

h - height

Prism 1:

l = 8cm, w = 5cm, h = 3cm

Substitute:

`V_1=(8)(5)(3)=120\ cm^3`

Prism 2:

l = 2cm, w = 5cm, h = 6cm

Substitute:

`V_2=(2)(5)(6)=60\ cm^3`

The volume of the composite figure:

`V=V_1+V_2\\\\V=120+60=180\ cm^3`