Hazel has two cubes. The smaller cube has a volume of 27 cubic units. The larger cube's sides are twice as long as those of the small cube. What is the volume of the second cube?
Answers
Answer:All of the sides of a cube are equal. Think of a die.
Step-by-step explanation:
To find the length of each side, take the cube root of 27.
3 * 3 * 3 = 27
Answer:
216
Step-by-step explanation:
Hazel has two cubes. The smaller cube has a volume of 27 cubic units. The larger cube's sides are twice as long as those of the small cube. What is the volume of the second cube?
remember
The volume of a cube is V=s3, where s is the length of one of the cube's edges.
solve
The volume of the smaller cube is 27 cubic units. Substitute this into the formula for the volume of a cube.
V
= s3
27
= s3
To find s, you should find the cube root of 27. So, figure out which number cubed equals 27.
The number 3 cubed equals 27.
33=333=27
So, the length of s for the smaller cube is 3 units.
The larger cube has sides that are twice as long. So, the length of s for the larger cube is 32=6 units. To find the volume of the larger cube, substitute 6 into the formula for the volume of a cube.
V
= s3
V
= 63
V
= 216
So, the volume of the larger cube is 216 cubic units.