2 identical cubes,each w/ volume 125 cubic cm,are placed side by side to form a rectangular prism.Find the surface area of the new solid?
The cubes are each 5 x 5 x 5 cm.
Joined together, they form a rectangular prism of dimensions 5 x 5 x 10 cm.
Calculate the area of that prism.
(Two sides of the original two cubes will be hidden).
The cubes are each 5 x 5 x 5 cm.
Joined together, they form a rectangular prism of dimensions 5 x 5 x 10 cm.
Calculate the area of that prism.
(Two sides of the original two cubes will be hidden).
YEaH ITS TRUE . and to continue with it it will results to 250 sQuare cm :D
To find the surface area of the new solid formed by placing two identical cubes side by side, we need to determine the dimensions of the rectangular prism that is formed.
Since each cube has a volume of 125 cubic cm, we can find the length of each side of the cube by taking the cubic root of the volume. In this case, the length of each side of the cube is 5 cm.
When the two identical cubes are placed side by side, one face from each cube will form the length of the rectangular prism, meaning that the length of the rectangular prism is 5 cm + 5 cm = 10 cm.
The width and height of the rectangular prism are both equal to the side length of the cube, so they are each 5 cm.
Now that we have the dimensions of the rectangular prism (length = 10 cm, width = 5 cm, and height = 5 cm), we can calculate the surface area of the solid.
The surface area of a rectangular prism can be found using the formula:
Surface Area = 2(length × width + length × height + width × height)
Plugging in the values, we get:
Surface Area = 2(10 cm × 5 cm + 10 cm × 5 cm + 5 cm × 5 cm)
= 2(50 cm² + 50 cm² + 25 cm²)
= 2(125 cm²)
= 250 cm²
Therefore, the surface area of the new solid formed by placing two identical cubes side by side is 250 square cm.