how many 5 cm cubes can be cut from a cube whose edge is 20 cm?
(1) 100
(2) 64
(3) 32
(4) 4
Answers
Answer:
100
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Question:
How many 5cm cubes can be cut from a cube whose edge is 20cm?
⓵ 100
⓶ 64
⓷ 32
⓸ 4
Answer:
The number of 5cm cubes that can be cut from a cube whose edge is 20cm are 64 [0ption⓶].
Step-by-step explanation:
Let the two cubes be :
➻ Cube A : Edge = 5cm
➻ Cube B : Edge = 20cm
Now, let's find the volume of Cube A :
➻ Volume of cube = (Edge)³
➻ Vol. of cube A = (5cm)³
➻ Vol. of cube A = 125cm³
Also, the volume of Cube B :
➻ Volume of cube = (Edge)³
➻ Vol. of cube B = (20cm)³
➻ Vol. of cube B = 8000cm³
Finding the number of cubes that can be cut from the other cube :
➻ No. of cubes = Vol. of B/Vol. of A
➻ No. of cubes = 8000 cm³/125 cm³
➻ No. of cubes = 1600 cm³/25 cm³
➻ No. of cubes = 320 cm³/5 cm³
➻ No. of cubes = 64
•°• 64 cubes of Cube A can be cut from Cube B.