Select the correct answerA small cube of side 2 cm is placed inside a larger cube with a side of 10 cm. Find the volume between the two cubes.Options996 cm³992 cm³998 cm³1000 cm³
Question
Select the correct answerA small cube of side 2 cm is placed inside a larger cube with a side of 10 cm. Find the volume between the two cubes.Options996 cm³992 cm³998 cm³1000 cm³
Solution
To find the volume between the two cubes, we first need to calculate the volume of each cube separately.
The volume of a cube is given by the formula V = s³, where s is the side length of the cube.
-
Calculate the volume of the larger cube: V_large = s³ = 10 cm * 10 cm * 10 cm = 1000 cm³
-
Calculate the volume of the smaller cube: V_small = s³ = 2 cm * 2 cm * 2 cm = 8 cm³
-
Subtract the volume of the smaller cube from the volume of the larger cube to find the volume between the two cubes: V_between = V_large - V_small = 1000 cm³ - 8 cm³ = 992 cm³
So, the correct answer is 992 cm³.
Similar Questions
Which is the volume to the nearest tenth of a cube whose sides measure 19.5 mm?Group of answer choices7414.9 cubic mm.380.3 cubic mm.58.5 cubic mm.144,590.1 cubic mm.
Select the correct answerA cube's volume increases by 728 cm³ when the length of each side is increased by 2 cm. Find the original length of a side.Options7 cm11 cm8 cm10 cm
A cube measuring 2 cm on each side is made from 8 equal cubes.What is the volume of one of the small cubes?
Find the side length of a cube with a volume of 195ft3.If necessary, round your answer to the nearest tenth.
Find the side length of a cube with a volume of 358m3.If necessary, round your answer to the nearest tenth.
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.