Solve an expression for the total volume of the dollhouse. 10in wide, 8in long 12 in high 6 in high 6in high 2in wide
The dollhouse is divided into three rectangular prisms:
1. The base: 10in wide, 8in long, and 12 in high
2. The first floor: 10in wide, 8in long, and 6in high
3. The second floor: 10in wide, 8in long, and 6in high
There is also a triangular prism roof on top, but we'll ignore that for now.
To find the total volume of the dollhouse, we can add up the volumes of each individual prism:
1. Volume of the base: 10 x 8 x 12 = 960 cubic inches
2. Volume of the first floor: 10 x 8 x 6 = 480 cubic inches
3. Volume of the second floor: 10 x 8 x 6 = 480 cubic inches
Total volume = 960 + 480 + 480 = 1920 cubic inches
So the dollhouse has a total volume of 1920 cubic inches.
To find the total volume of the dollhouse, we need to calculate the volumes of each individual section and then add them together.
First, let's calculate the volume of the main section. The dollhouse is 10 inches wide, 8 inches long, and 12 inches high. To find the volume, we multiply these three dimensions:
Main section volume = 10 in * 8 in * 12 in
Next, let's calculate the volume of the additional sections. There are three additional sections, each with dimensions 6 inches high and 2 inches wide. To find the volume of each section, we multiply these two dimensions:
Additional section volume = 6 in * 6 in * 2 in
To get the total volume of the dollhouse, we add the volume of the main section to the sum of the volumes of the additional sections:
Total volume of the dollhouse = Main section volume + (3 * Additional section volume)
Now, let's plug in the values and calculate the volume:
Main section volume = 10 in * 8 in * 12 in
Main section volume = 960 in³
Additional section volume = 6 in * 6 in * 2 in
Additional section volume = 72 in³
Total volume of the dollhouse = 960 in³ + (3 * 72 in³)
Total volume of the dollhouse = 960 in³ + 216 in³
Total volume of the dollhouse = 1176 in³
Therefore, the total volume of the dollhouse is 1176 cubic inches.