imelda glues together 72cubes with 2cm edges to form a solid rectangular brick.if the area of the base is 48sq. cm find the volume of the bricks in cubic centimeters
To find the volume of the brick, you first need to calculate the height of the brick using the given information about the base area and the number of cubes used.
First, calculate the length and width of the base of the brick using the given base area.
The area of the base is given as 48 square cm. Since the base is rectangular, we can find the length and width by factoring the area into its prime factors.
Factorizing 48, we get: 48 = 2^4 * 3.
Now, we can choose any two prime factors to represent the length and width. Let's choose 2 and 3.
Length = 2
Width = 3
Now, let's determine the height of the brick.
The height of the brick will be equal to the edge length of the cube, which is 2 cm.
Now, you can simply multiply the length, width, and height to obtain the volume of the brick:
Volume = Length * Width * Height
Volume = 2 cm * 3 cm * 2 cm = 12 cubic cm
Therefore, the volume of the brick is 12 cubic centimeters.