Question

Please see picture to solve the volume of this figure.

Answer 1

For this case we have that by definition, the volume of a rectangular prism is given by:

`V = a * b * c`

Where:

a: Long

b: Width

c: High

Prism 1:

`V_ {1} = 7 * 6 * 1 = 42 \ cm ^ 3`

Prism 2:

`V_ {2} = 7 * 3 * 4 = 84 \ cm ^ 2`

Thus, the total volume is:

`V = 42 + 84 = 126 \ cm ^ 3`

Answer:

`126 \ cm ^ 3`

Answer 2

To find the volume of a rectangular prism, we use a certain formula.

Volume = Length × Width × Height

First, let's find the volume of the rectangular prism on the left. The length of the prism is 6 cm, the width of the prism is 7 cm and the height is 1 cm.

Now, we can plug these values into our formula.

Volume = (6) (7) (1)

6 × 7 = 42

42 × 1 = 42

Therefore, the volume of the rectangular prism on the left is 42 cm³.

Next, we will find the volume rectangular prism on the right using the same formula.

Volume = Length × Width × Height.

The length of the prism is 3 cm, the width of the prism is 7 cm and the height is 4 cm. Now, we can plug these numbers into our formula.

Volume = (3) (7) (4)

3 × 7 = 84

21 × 4 = 84

Therefore, the volume of the second rectangular prism is 84 cm³.

Now, we can add these two numbers together and we will get the volume of the entire figure.

84 + 42 = 126 cm³.