18*18*18 cm3 = 5832 cm3 or 5.832 litres
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The volume of this cube is 343 cm3
Oh, dude, it's like you're asking me to do math or something. So, the volume of a cube is side cubed, right? So, to find the length of one edge, you just gotta take the cube root of the volume. In this case, the cube root of 125 is 5, so each edge of the cube is 5 cm long. Easy peasy!
Edge of the larger cube = 32 cm Volume of the larger cube = (32 cm)3 = 32768 cm3 Edge of the smaller cube = 4 cm Volume of the smaller cube = (4 cm)3 = 64 cm3 Since the smaller cubes are cut from the larger cube, volume of all of them will be equal to that of the larger cube. ∴ Total number of smaller cubes × Volume of the smaller cube = Volume of the larger cube ⇒ Total number of smaller cubes = Volume of the larger cube ÷ Volume of the smaller cube ⇒ Total number of smaller cubes = 32768 ÷ 64 = 512 Thus, 512 smaller cubes can be cut from the larger one.
45 cm
The length of a side (edge) of a cube is equal to the cube root of the volume. So, in this case the cube root of 125 is 5. Thus, each edge of the cube is 5 cm long.