An illustration showing two cubes joined on both sides of a cuboid. The sides of the cube are 5 centimeters. The length of the cuboid is 10 centimeters and height is 12 centimeters.
answer: _____cm^3
pls and ty
The volume of the cuboid can be calculated by using the formula V = l x w x h, where l = 10 cm, w = 5 cm, and h = 12 cm.
Therefore, V = 10 cm x 5 cm x 12 cm = 600 cm^3.
Since there are two cubes joined on both sides of the cuboid, we need to calculate the volume of the two cubes. The volume of each cube can be calculated using the formula V = s^3, where s = 5 cm.
Therefore, V_cube = 5 cm x 5 cm x 5 cm = 125 cm^3.
The total volume of the two cubes is 2 x 125 cm^3 = 250 cm^3.
Adding the volume of the two cubes to the volume of the cuboid, we get:
Total volume = 600 cm^3 + 250 cm^3 = 850 cm^3.
Therefore, the answer is 850 cm^3.