Find the volume of the following solid:

390cm³

Step-by-step explanation:

IF you look at the figure attached, you will see that your figure is made up of 3 rectangular prisms.

All you need to do is solve for the volume of each prism and add them up together.

The formula to use to get the volume of a rectangular prism is:

Where:

V = Volume

w = width

l = length

h = height

Let's get the first one and double it because you have rectangular prisms with the same dimensions:

Next we get the rectangular prism in the middle:

Notice that the height of the side rectangular prisms is 12 cm. To get the height of the middle figure, just subtract 5cm and 2 cm from the height because they are the excess of the middle.

12cm - (5cm + 2cm)

12 cm - 7cm = 5cm

Then we plug it into the formula

Now that we have the volumes of all figures, just add them up together:

150cm³ + 240cm³ = 390cm³

7 ft 6 in means 7 1/2, because 6 in is 1/2 of a foot. 7 ft 8 in means 7 2/3 because 8 in is 2/3 of a foot. 23/3 = 7 2/3. 15/2 = 7 1/2.

23/3   *   15/2   = 57 1/2

step-by-step explanation:

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step-by-step explanation: