Question

Carlos made a fort for his porcupine by connecting two boxes.The first box is 10 meters long, 7 meters long and 5 meters high. The second box is 4 meters long,10 meters wide and

Answer 1

Answer:

The porcupine has 670 cubic meters of space to play in the fort.

Step-by-step explanation:

Question:

Carlos made a fort for his pet porcupine by connecting two boxes. the first box is 10 meters long, 7 meters wide, and 5 meters high. the second box is 4 meters long, 10 meters wide, and 8 meters high. how many cubic meters of space does his porcupine have to play in his fort?

Given:

The fort is made using two boxes.

The dimensions of first box is:

Length = 10 m

Width = 7 m

Height = 5 m

The dimension of the second box is:

Length = 4 m

Width = 10 m

Height = 8 m

To find the cubic meters of space does his porcupine have to play in his fort.

Solution:

In order to find cubic meters of space the porcupine has in order to play in the fort, we will have to find the total volume of the fort which would be equal to the sum of the volumes of the boxes used to make the fort.

The box is a shape of a cuboid or a rectangular prism and so, the volume is given as:

$Volume = l\times w\times h$

where $l$ represents length, $w$ represents width and $h$ represents height of the box.

So, volume of first box will be :

⇒ $10\ m \times 7\ m \times 5\ m$

⇒ $350\ m^3$

Volume of second box will be:

⇒ $4\ m \times 10\ m \times 8\ m$

⇒ $320\ m^3$

Thus, total volume of fort = Volume of box 1 + Volume of box 2 = $350\ m^3+320\ m^3 = 670\ m^3$

The porcupine has 670 cubic meters of space to play in the fort.